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The American INSTRUCTOR: OR, Young Man's Best Companion.

CONTAINING, Spelling, Reading, Writing, and Arithmetick, in an easier Way than any yet published; and how to qua­lify any Person for Business, without the Help of a Master.

Instructions to write Variety of Hands, with Copies both in Prose and Verse. How to write Letters on Bu­siness or Friendship. Forms of Indentures, Bonds, Bills of Sale, Receipts, Wills, Leases, Releases, &c.

Also Merchants Accompts, and a short and easy Me­thod of Shop and Book keeping; with a Description of the several American Colonies.

Together with the Carpenter's Plain and exact Rule: Shew­ing how to measure Carpenters, Joyners, Sawyers, Bricklayers, Plaisterers, Plumbers, Masons, Glasiers, and Painters Work. How to undertake each Work, and at what Price; the Rates of each Commodity, and the com­mon Wages of Journeymen; with Gunter's Line, and Coggeshal's De­scription of the Sliding-Rule.

Likewise the PRACTICAL GAUGER made Easy; the Art of Dialling, and how to erect and fix any Dial; with Instructions for Dying, Colouring, and making Colours.

To which is added, The POOR PLANTER'S PHYSICIAN: With Instructions for Marking on Linnen; how to Pickle and Preserve; to make divers Sorts of Wine; and many excellent Plaisters, and Medicines, necessary in all Families.

And also, Prudent Advice to young Tradesmen and Dealers.

The whole better adapted to these American Colonies, than any other Book of the like Kind.

By GEORGE FISHER, Accomptant.

The Tenth Edition, Revised and Corrected.

PHILADELPHIA: Printed by B. FRANKLIN and D. HALL, at the New-Printing Office, in Market Street, 1753.

[Page iii]

THE PREFACE.

I Need say but little by way of Preface, in relation to the Usefulness of this Book, the Title Page so fully declaring its Contents: But as a Preface is usually expected, I must and cannot well avoid saying something with respect to its Utility.

As to the first Step of forming the young Man's Mind for Business, viz. The being instructed in, and acquainted with our Mother Tongue, viz. English, it must and is acknow­ledged by all, to be a due and principal Qualification in writing Business, and therefore it is necessary to be there­with well acquainted.

Then in the next Place, to write a good, fair, free, and commendable Hand, is as necessary in most, if not in all the Affairs of Life, and Occurrences of Business.

The next Thing touched on, is in relation to the inditing of some few Epistles or Letters in a familiar Stile, and on sundry Subjects and Occasions: With Directions how to subscribe or conclude a Letter, and also to superscribe or direct Letters, according to the different Ranks and Qualities of the Persons to whom directed: And this cannot be deny'd but to be a [Page iv] Qualification fit for a young Man, and also to others more adult Years.

The next Accomplishment for a young Man, and large [...] treated on in this Book, is that excellent Science [...] Arithmetick, both Vulgar and Decimal: Leading him [...] the Hand, and by easy Steps, through its whole [...].

Again the young Man is next shewn the ingenious Art o [...] Book-keeping after the Italian Manner, by way of Doubl [...] Entry; and that is an Accomplishment that capacitates hi [...] for Business in the highest Degree: Under which Head, h [...] is also informed how to draw out or make various Sorts o [...] Accompts or Writings, relating to Mercantile Affairs; a [...] Bills of Lading, Invoices, Accompts of Sales, together with authentick Examples of Bills of Exchange, with Notes concerning them; likewise Bills of Parcels of divers Kinds; also various Sorts of Receipts, &c. All which is expedien [...] for a young Man to know and understand, if he would be dextrous in Business.

Next he hath a concise Account of the several American Colonies; with a short but comprehensive Account of all the Arts and Sciences: An historical Table of the most remark­able Events that have happened in the World; and An Abstract of the History of England.

Here are also, easy, plain, and likewise curious Directions for measuring all Sorts of Planes and Solids (Arithmetically and Instrumentally) as the Works of Carpenters, Joiners, Sawyers, Bricklayers, Masons, Plaisterers. Painters, Glasiers, &c. with the Prices of their Works.

Here is likewise shewn the Methods, of extracting the Square and Cube Roots, with some of their Uses, in relati­on to Measuring, &c.

Also Practical Gauging of divers Kinds of Vessels, Tuns, &c. Likewise Dialling in various Kinds, with the Represen­tation of the several Sorts of Dials, and how to beautify and adorn them.

Next are Precedents of Law Writings, as Bonds, Bills Indentures, Wills, Letters of Attorney, &c. in great V [...]riety, and adapted to these American Colonies.

[Page v]Lastly, some Directions relating to the pleasant and delightful Art of Graffing and Inoculating. To which is sub­joined, some Instructions to young Women how to Pickle and Preserve all Kinds of Fruits and Flowers, &c. with In­structions for making divers Sorts of Wines of English Growth; and also for preparing many excellent Medicines, Plaisters, &c. with several good Prescriptions of proper Use against most Distempers: Fit for, and necessary in, all Families. Including the whole of that useful little Tra [...] intituled, The Poor Planter's Physician.

To the whole is added, some prudential Advice to a young Tradesman or Dealer; which, if observ'd, may, with God's Blessing, make his Fortune.

In the British Edition of this Book, there were many Things of little or no Use in these Parts of the World: In this Edition those Things are omitted, and in their Room many other Matters inserted, more immediately useful to us Americans. And many Errors in the Arithmetical Part are here carefully corrected.

VALE & FRUERE.

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INSTRUCTIONS FOR YOUTH, To SPELL, READ, and WRITE TRUE ENGLISH.

The Use of Great and Small Letters; how to divide them into Vowels and Consonants; what Diphthongs are, their Numbers, and how pronounced and written.

THE Subject Part of this Book being to in­struct Young (as well as Old) People, in the general Rules of Business and Conversation thereunto belonging, the first Step I shall take for forming the Mind for Business, is that most necessary Accomplishment, the Spelling and Writing good and proper English; for let a Person write ne­ver so good a Hand, yet if he be defective in Spelling, he will be ridiculed and contemptibly smiled at, notwithstanding his fair Writing; and which will, indeed, make his Ortho­graphical Faults be more conspicuous. But to the Matter.

First, We are to take Notice, that of Letters are made Syllables, of Syllables Words, and of Words, Sentences, &c.

The Letters are in Number 24; to which if you add j and v Consonants, being of a different Shape and Sound from the rest, they make 26. As to the Letters, we are to observe their Names, their Form, and their Force: Their Names, whereby to know them; their Form, whether great or small; and their Force in Pronounciation or Utterance.

[Page 2]Letters are distinguished, according to their Sound, [...] Vowels and Consonants: A Vowe [...] is a Letter that soundet [...] by itself, and they be five in Number, viz. a, e, i, o, u, an [...] y, the Greek Vowel; which also is a Vowel in English, whe [...] it cometh after a Consonant, and hath the Sound of i; a [...] in by, sly, reply, &c. A Consonant is a Letter that soundet [...] not, except it be joined with a Vowel, for without one o [...] the Vowels no Syllable can be made; as, b, c, d, &c. with [...]out the Aid of a Vowel, make nothing: So that Vowels an [...] Consonants may be compared to Nouns [...]ubstantive and Noun [...] Adjective, each requiring the other's Assistance. Though w [...] have but 24 Letters, and 6 of them Vowels, yet we hav [...] 21 Consonants; for j, v, and y, when they are set befor [...] any Vowel, in the same Syllable, become Consonants; a [...] was said before concerning y; as in Jupiter, Juno, Jilt, vulgar▪ violent, vigour, &c. Note, That j Consonant hath the Soun [...] of g, as in j in, jangle, jingle, &c.

When two Vowels come or meet together in a Word, and are not parted in the Pronounciation, but united in one Sound such are called Diphthongs; being 13, viz. ai, ei, oi, and ui, au, eu, ou, ee, oo, ea, eo, oa, and ei; as in maid, faith▪ either, join, aul, eunuch, stout, feed, seed, food, brood▪ stealth, wealth, people, st [...]eple, boat, goat, heat, beat, feat▪ friend, field, &c. Note, That in the first 7 Words, bot [...] Vowels are sounded; but in the other 15, one of them i [...] scarcely heard.

There are also those that are called Tripthongs, where thre [...] Vowels meet in one Sound, as in Beauty, Beau, Lieu, and View: Likewise ay, ey, oy, uy, aw, ew, and ow become Diphthongs, at the End of Words, but are called improper Diphthongs; as in say, key, joy, saw, bow, &c.

Of Letters Great and Small, and when to be used.

FIRST Negatively▪ Great Letters are not to be used in the Middle or latter End of a Word, except the whole Word be so written, as JEHOVAH, LORD, or Titles of Books, &c. For it would be very absurd to write thus: To Mr. geoRgE RoGeRs In thaMes StReEt.

1 st, Great Letters, or Capitals, are written at the Begin­ning of Sentences; as, Fear God. Honour the King. Know when to speak, and when to hold your Tongue.

2 dly ▪ After every Period, or Full Stop, when new Mat­ter begins. As, Some time after that Accident, another fol­lowed, [Page 3] which was this, &c. London, May 16. Turin, June 12, &c.

3 dly, All Proper Names of Persons, Places, Ships, Rivers, &c. are to begin with a Capital; as, George, London, the Dr [...]adnought, Thames, Severn: All Christian Names and Surnames, both of Men and Women, must begin with a Great Letter; as, Samuel Sharp, Mary Sweeting, &c.

4 thly, The more eminent Words in a Sentence; as Faith is the Foundation of the Christian Religion; or, any Word that we have a particular Regard or Deference for; as, God, Christ, King, Queen, &c.

5 thly, At the Beginning of every Line in Poetry; as,

Improve your Time: Time passeth quickly on;
Nor doth so good succeed, as that that's gone.

6 thly, All Names of Arts, and Sciences, and Trades; as, Writing, Arithmetick, Geometry, Musick, Carpenter, Smith, &c. And evermore the Personal Pronoun I, and the Inter­jection O, must be Capitals.

For it is ridiculous to write thus; On Monday last i came to your House, but you was not at Home; then i went, &c.

Lastly, I think I may venture to give a general Rule when Capitals are to begin Words, which is this; All Nouns Sub­stantive may begin with a great Letter; and a Substantive may be known by the Signs either of A, An, or The, before them; as, a House, a Mill, an Ox, an Ass, the City, the River, &c. And I think the Adjective (which declares what Sort of a Thing the Substantive is) may be with a Small, and the Substantive with a Great Letter; as, the white Horse, the long Rope, brown Bread, fat Beef, &c.

Small Letters are commonly written in all other Places, as Verbs of the Active and Passive Voice, &c.

Observations concerning the Sound of Letters, and which are omitted in Pronounciation.

A, Is not sounded in Pharaoh, nor in Sabbaoth, but as if written Pharo, and Sabboth; neither in Marriage, but as Marrige; also Parliament as Parliment, and Chaplain as Chaplin, &c. In some proper Names it is not sounded, but drop'd in the Pronounciation; as in Aaron, Isaac, Canaan, Balaam, which are pronounced as if written Aron, Isac, Canan, Balam; but we must except Ba-al, and Ga-al. A is sounded broad like aw, in Words before ld and ll; as in bald, scald, ball, wall, [...]all, &c.

[Page 4] B is not sounded in thumb, dumb, plumb, [...], doubt, debt, subtle, &c. but sounded as if written thum, dum, plum lam, dout, det, suttle.

C is sounded hard like K, before a, o, and u, and before l and r; as in these Words, cane, came, comb, cub, clay, crane, crab; and soft in cement, city, and tendency; C loseth its Sound in scene, science, and victuals, and in ve [...]dict, likewise in indict, indictment; also before k, as in stack, rack, stick, thick, brick.

Ch is sounded like K, in Words of Foreign Extraction, and in many proper Names of the holy Scripture; as in Chorus, Chymist, Chrysostom, Christ, Chederlaomer, Baruch, Archippus, &c. Ch in French Words sound like sh, as in Chevalier, pronounced as Shevalier: Machine as Masheen, Mareschal as Marshal, Capuchin as Capushen, Chaise as Shaze, &c.

D is not sounded in Ribband, nor in Wednesday, but pro­nounced as Ribbin, and Wensday; the Termination ed is shortened into t; as burned, burnt; choaked, choakt; ripped, ript; passed, past; choped, chopt; &c.

E is not sounded in heart, neither in hearth, or dearth, &c. and seldom heard but in Monosyllables; as in me, he, she, ye, the, &c. where it hath the Sound of ee; but in Words, derived from the Hebrew and Greek, e hath its perfect Sound, as, Jesse, Jubile, Mamre, Nineve, Candace, Cloe, Eunice; Penelope, Salmone, Phebe, Epitome, Catastrophe, Gethsemane, and from the Latin simile, and premunire, &c. E final, or e at the End of a Word, serves to lengthen the Sound, and to distinguish it from other Words without e, which are sounded short; as in these Examples following, viz. cane, can; hate, hat; bite, bit; fare, far; hope hop; made, mad; mane, man; scrape, scrap; stare, star; tune, tun; write, writ; &c. And in Words of more than one Syllable, length­ens the Sound of the last Syllable, but doth not increase the Number of Syllables; as, admire, demise, blaspheme, &c. E lengthens the Syllable in Tyre, Kenite, and Shu-la-mite. E must not be made to lengthen a Syllable, when it is made short by two Consonants; as in pass, turn, black; not passe, turne, blacke. Words ending in cre, gre, and tre, Sound the e before the r, as in these Words; acre, lucre, centre, se­pulchre; tygre, maugre, mitre, lustre; which are sounded as if writen aker, luker, senter, sepulker, tyger mauger, miter, and luster. E final, when not sounded, serves to soften c and [Page 5] g, as in ace, place, lace, spice, truce, oblige, huge, age, &c. If Nouns in e final take s after them with an Apostrophe be­fore it, it stands for his, as the Pope's Eye, or the Eye of the Pope. If without an Apostrophe, it makes the Plural Num­ber, as Tables. E must be joined to long s in these Words; Horse, Nurse, Purse; not Hors, Nurs, or Purs. If to e at the End of a Word, a long Vowel be added, the e is to be omitted, as in writing, loving, doing, &c. not writeing, loveing, or doeing; except the Terminations ge and ce before able, as in charge-able, peace-able, &c. E must not be written after a Diphthong, in these Words; vain, maid, gain, fear, gnaw, &c. not vaine, maide, gaine, &c.

F in Plurals is changed into v, as, strife, strives, staff, staves.

G is not sounded in sign, reign, neither in gnaw, gnat, assign, design, seignior, seraglio, phlegm, &c. but sounded as [...]f senior, seralio, fleme. G is sounded soft in gender, ginger, and gipsy; but hard in Gibeon, Giberah, Gilboa, Geth-semane, and hard also in these Proper Names, Gibson, Gilman, and Gilbert; and likewise in these common Words, gelt, geld, gird, gimp, geese, gander, gabble, gather, gild, &c. Ob­serve, That if G be hard with a long Vowel, ue is joined and pronounced in the same Syllable; as in Plague, Prague, Hague, rogue, league, dialogue, catalogue, &c.

Gh in the End of some Words, where au or ou goes be­fore, hath the Sound of ff, as in tough, rough; cough, laugh, [...]ounded as if tuff, ruff, coff, laff; but huff, cuff, snuff, and buff, must be so written.— Gh is not sounded in mighty, though, through, neither in daughter, or Vaughan.

H hath Place, but no Sound, in Chrystal, Chronicle, Christ, Ghost, John, Rhine, Schedule, and Schism. H is not sounded at the End of Words, if it be alone, without t or c before [...]t, as, snatch, watch, &c.

l is not sounded in adieu, juice, venison, fruit, bruise, Salisbury; but sounded like ee in oblige, Magazine, and Ma­chine, &c. l is sounded long in proper Names ending in iah, Jeremiah, Hezekiah; but short in A-ri-el and Me-ri-am.— The tail'd j, or Consonant, hath been spoke of before.

K is nearly allied in Sound with C; but to know when to use one, and when the other, Note, that C hath the Force of K only before a, o, oo, and u, and these two Consonants l and r; and therefore we must not write, kare for care, [Page 6] kow for cow, krown for crown; and the use of K is only be [...]fore e, i, and n; wherefore we must write keep, key, knight▪ kill, &c. not ceep, cey, cnight, nor cil ▪ We must write Ca [...]lendar, Catherine, rather than Kalendar, or Katherine.

L is not sounded in calf, half, chalk, stalk, walk; bu [...] pronounced as if cafe, hafe, chauk, flauk, wauk. Neithe [...] is l pronounced in Bristol, Holborn, Lincoln, Salmon, o [...] Chaldron; but sounded as if writ Bristow, Hoburn, Lincon▪ Sammon, and Chaudron; nor in Colonel, where the first l hat [...] the Sound of rr, as Curronel.

M hath the Sound of n, in the Word accompt.

N is not heard in autumn, lime-kiln, solemn, limn, hymn column, nor in condemn.

O is not sounded in people, faoffe, bason, mutton, and [...] also in yeoman, mason, righteous, bacon, jeopardy, and crimsonO sometimes sounds like oo, as in doing, moving, proving, &c▪ O is not heard in coroner, damosel, Nicholas, carrion, [...] in chariot; but pronounced as if writ crowner, damsel▪ Nicklas, carrin, and charrit.—O is sometimes sounde [...] like i; as in women and flagon, pronounced as if wimme [...] and flaggin. And sometimes O is sounded as u, as in cordui [...] ▪ conjure, attorney, and Monmouth, being heard as if [...] cundit, cunjur, atturney, and Munmouth.

P is written, but not sounded, in empty, presumptuous▪ psalm, sumpter, accompt, attempt, psalter, and symptom; als [...] in sumptuous, contemptuous, receipt, and consumptive, &c.

Ph have the sound of f, when together in one Syllable; [...] in philosophy, physician, Asaph, and elephant, but we mu [...] not write filosophy, fisitian, nor Asaf, or elefant. Ph [...] parted in shep-herd, up-hold, and in Clap-ham, and othe [...] such compounded Words.

Q. After Q always follows u in all Words; and in Frenc [...] Words it hath the Sound of k; as in risque, liquor, catho [...]lique, banquet, conquer, masquerade, chequer; pronounce [...] as risk, likker, catholic, banket, &c.

S is not sounded in island, viscount, or isle, nor in Lisle [...] but pronounced as iland, vicount, ile, and Lile.

There be two Sorts of s's, the long s, thus s; and the lit [...]tle s, thus s; the long s in the Beginning and Middle [...] Words, (but never at the latter End) and the short or smal [...] s at the latter End of Words, and sounds hard like z, in [...] the Words of the plural Number, and in Words of the thir [...] Person; as names, worms, he reads, she hears▪ S sound [Page 7] [...]ard, in Words that terminate in sion, as in circumcision, [...]vasion, delusion; but after a Co [...]sonant soft, as in c [...]ver­sion, commission, dimension. S is likewise soun [...]ed hard in the [...]e Words, raise, praise, chaise, cheese, these, compose, exp [...]se, [...]ruise, refuse, applause, pause, clause, wisdom, casement, [...]nd damsel.—I do not think it any very great Abuse, to [...]ave the small s sometimes in the Beginning or Middle of a Word, as well as at the latter End; especially if a t follow [...], thus st.

Th sounds fine in thin, think, and wrath; and is sounded [...]ard in thee, th [...]n, they, that, blythe, tythe, and sithe; [...] in mother, brother, hither, thither; and in loath, cloath, [...]nd cloathier, &c.

Ti before a Vowel or Diphthong, hath the Sound of si; as [...] patience, dictionary, gratian, oblation, nation, translation; [...]xcept when s goes just before it, as in these Words, question, [...]ustian, bastion, combustion, and celestial, and also bestial, [...]c. In some Words of Hebrew and Greek, ti retains its [...]atural Sound; as in S [...]ealatiel, Phaltiel, Shephatiah, Cotittia, [...]dramyttium, and the like; and in mightier and mightiest, [...]ptiest, emptied; and from pity, we say piti-able.

U is sounded like i in bury, birry, buzy, bizze; business, [...] bizness.

W is not sounded, though written, in answer, sword, whore, nor in swooning away, neither is it heard in wrap, wrath, wrong, wretch, wreath, wrangle, wriggle; but [...]ronounced as if sord, hore, souning, and hath the Sound of [...] in the last seven Words, viz. rap, rath, rong, &c.

Wh belongs to Words purely English; as what, when, where and wheel.

X is sounded as z, in Xenophon, Xerxes, Xenocrates, and Xantippe.

Y is either a Vowel or Consonant, as hinted before. A Vowel, in my, by, sly, thy; and sometimes, when a Vowel, [...] hath the Sound of ee, as in worthily, christianity, liberty, [...]ormerly, formally, Normondy, and Dorothy. Y is a Consonant when it begins a Word, as in yet, you, yonder, younger, and yesterday.

Z hath its proper Sound, in Zeno, zeal, zealous, and in Zenobia. It hath the Sound of s in Elizabeth, size, prize, [...]nd Melchizedeck; the first of which Words hath been for­merly, and sometimes now is writ with an s, thus, Elisabeth.

[Page 8]Thus far for the Sound of Letters single; and now I shall give a few Notes concerning two Letters, when they are united in one Sound, called Diphthongs; and first of

Ai and Ay. These have the Sound of a, in air, fair, pair, may, stay, play; but a is lost in Calais, (a Town of France) and pronounced separately in Sinai, (a Mountain of Arabia)▪

Ei, and Ey, are sounded in eight, streight, sleight, and heyday! and are pronounced as e, in key, veil, and convey but eye must be excepted: And ei is sounded as a, in neigh­bour, and heir, being pronounced as nabor and arc.

Oi and Oy have a Sound peculiar to themselves; as in oil and oyster; but make no Diphthong in going or doing.

Au and Aw commonly keep a proper Sound; as in augur [...] ▪ austere, daw, maw, saw, &c. but au is lost in aunt, an [...] gauger, being sounded as ant and gager; likewise is not hear [...] in Em-ma-us, and Ca-per-na-um.

Eu and Ew have an united Sound in all Words, as in feu [...] brew, new, and grew; but eu, is no Diphthong in Zac che us, or in Bar-ti-me-us.

Ou and Ow. Ou is expressed in foul, soul, proud, loud; an [...] ow in bow, cow, and now; but ou sounds like oo, in s [...]up (a French Dish) Stroud, (a Town in Kent) and Cowper, (a Man Name) sounded as if soop, Strood, and Cooper.

Ee is no Diphthong in Be-e-rites, Be-er-she-ba, and in B [...]el-ze-bub, one of the e's is dropt in Pronounciation; neithe [...] in Words beginning with re, or pre, as re-enter, pre e-m [...]nence.

Oo is properly sounded in cool, fool, pool, and tool; [...] hath the Sound of u in root, foot, and soot; and makes [...] Diphthong in Co-os, co-o-pe-rate.

Ea sounds like a, in sea, pea, seam, and ream; and hat [...] the sound of e in bread, head, lead, dead, search, leathe [...] ▪ feather, heaven, and leaven; but is no Diphthong in ven-g [...]ance, mis-cre-ant, or any Hebrew, Greek, or Latin Word [...] as in Ka-desh, Bar-ne a, Kir-jath-je-a-rim, nor in Ce s [...]re-a, i-de a, or o-ce-an; neither in re al, be-a-ti-tude, [...] a tor; but except creature; nor in Words beginning with [...] as pre-amble, &c.

Oa is sounded as o in goat, boat, and coat; and sounde [...] broad, as au, in broad and groat; but is no Diphthong Go-a, (a City in India) or in the Hebrew Words Zo-an, [...], and Gil-bo-a.

[Page 9]Ie before a single Consonant, sounds like ee, as in brief, chief, and thief; but if before two Consonants, it sounds like e; as in friend, field; but at the End of English Words▪ e final is not heard, as in die, signifie; and is no Diphthong in A-bi e zer, Eli-e-zer, nor in the English Words di-er, car­ri-er, or clo-thi er; and in Words derived from the Latin, [...]e is parted, as in cli-ent, o-ri-ent, qui-et, and sci-ence.

Ui is sounded as u in juice, fruit, and suit; but u is lost in conduit, build, and guise, and is no Diphthong in je su­it, ge-nu-in, or fru-i-ti-on.

AE and OE be no English Diphthongs, but are used in Aesop, Aeneas, Aetna, Caesar, Oedipus, and Oeconomy; but in common Words they are neglected; as in equity, female, and tragedy, tho' derived of aequitas, foemina, and tragoedia.

Of Syllables, and their Divsion, being the Art of Spelling.

A Syllable is a taking Letters together, and ut [...]ring them in one Breath, as vir-tue; so that virtue being thus divided, or taken asunder, makes two Syllables, viz. vir and tue, which put together, forms the word virtue. And many times a Vowel, or a Diphthong, of themselves, make a Syl­lable; as in a-bate, e-ve-ry, i-dle, o-ver, u-su-rie; so of Diphthongs, as au-ger, Eu-stace, ow-ner, ai [...]der, oy-ster Ea-ton, oa-ten: By which we may particularly note, That no Syllable can be made, be there never so many Consonants, or so few, without the Aid of a Vowel or Diphthong.

The longest Monosyllables we have in English, are length, strength, and streights; which still would be nothing, without the Vowel e and i.

All Spelling may be taken in, under these four following general Rules, or Heads.

1 st, When a Consonant comes between two Vowels in di­viding the Word into [...]yllables, the Consonant is joined to the latter Vowel; as in sta-ture, na-ture, de-li-ver, u ni-ty, &c. except compound Words, which terminate in ed, en, est, eth, er, ing, ish, and ous; as coasted, gold-en, know-est, know-eth, bear-er, fool-ing, bar-ba-rous, ra-ven-ous, and sub-urbs.

2 dly, When two Consonants come together in the Middle of a Word, they are to be parted if not proper to begin a Word; as num-ber, stran-ger, for-tune, &c. not numb-er, strang-er, fort-une: To this Rule is excepted, Words with x, as ox-en, ex-er-cise, &c. When the same Consonant is doubled [Page 10] in a Word, the first belongs to the foregoing, and the latter to the following Syllable, as in the Rule above, and in these words, Ab ba, ac-cord, an-no, ad-der, &c.

3 dly, Consonants that can begin Words, must not be parted in the Middle; as a-gree, be-stow, re-frain, &c. not ag-ree, bes-tow, ref-rain.—These Consonants may begin Words, viz. bl, br, ch, cr, dr, dw, fl, fr, gh, gl, gr, kn, &c. as blunt, break, chaw, cry, draw, dwell, flesh, ghost, &c. On the Contrary, Consonants that cannot begin Words, must be parted in the Middle, as in Sul-tan, and as said above.

4 thly, When two Vowels come together, not making a Diphthong, they must be divided; as in vi-al, va-li-ant, Li-o-nel, du-el, cru-el, me-te-or, and La-o-di-ce-a.

Some particular Notes.

L is doubled in Words of one Syllable; as well, tell, swell, ball, wall, fall, will, hill, mill, &c. But in Words of more than one Syllable, the Word always te [...]minates with single l, as, angel, Babel, hurtful, dutiful, and beautiful. Neither must l be doubled in alway, also, although; not all-way, all-so, all-though, &c. But Words accented on the last Syllable, must be excepted from the Rule above, viz. install, recall, inroll, rebell, and repell.

Y must be used before the Termination ing, as buying, ly­ing, carrying, marrying, paying, slaying, burying, &c.

The long s must never be used at the End of a Word, o [...] immediately after the short or small s.

X should be used instead of ct, where it appears to have been in the Original; as reflexion connexion, rather than re­flection, or connection, &c.

Remember, that if you cannot write out the whole Word at the End of the Line, break it off at the End of a Syllable, thus — con­demn; not thus — cond­emn: Again—dis­charge; not—disc­harge.

C must not be put between two Consonants; as think, no [...] thinck; thank, not thanck; brink, not brinck; but if a Vowel goes before c, you must write c before k, as brick, stick, thick, &c.

E final must not be placed after a Syllable made long by a Diphthong, as rain, not raine; brain, not braine; re­strain, [Page 11] not restraine, &c. Neither is it necessary after a double Consonant, as inn and add; not inne or adde: But we must except Anne, a Christian Name, and Donne, a Sur­name; and also Deale, the Name of a Town in Kent.

Ph must be retained in Words of a Foreign Original; as phancy, prophet; not fancy, profet.

U follows Q in all Words, as was said before.

Q is better than C, in some Words from the Latin, as oblique, antique, relique, rather than oblike, antike, or relike. Also paquet, risque, traffique, and Fabrique, from the French.

K is by some thought unnecessary in Words of Foreign Ex­traction, viz. arithmetic, music, logic, public, catholic, and physic; rather than arithmetick, &c.

Of S and C. Some People may easily drop into Error by mistaking S for C, as in the Beginning of the following Words, where C hath the perfect Sound of S, though C must undoubtedly be written, viz. in

  • Ceiling
  • Celestial
  • Civet
  • Certain
  • Cymbal
  • Cistern
  • Centurion
  • Cinnamon
  • Ceremony
  • Cellar
  • Censure
  • Censor
  • Cease
  • Celebrate
  • Cell
  • Censer
  • Celerity
  • Cypress
  • Circle
  • Circuit
  • Cement
  • Ceruss
  • Centre
  • Cinque
  • Cypher
  • City
  • Citron

But these Words must be written with S, viz.

  • Science
  • Schedule
  • Sceptre
  • Scheme
  • Scarcity
  • Schism
  • Sciatica
  • Scythian

When to write ti, and when si—viz.

with ti.
with si.
Contention
Confusion
Action
Occasion
Contradiction
Contusion
Attention
Oppression
Benediction
Allusion
Apparition
Ascension
Concoction
Aversion
Declaration
Aspersion
Ambition
Commission
Contrition
Comprehension
Oration
Circumcision
Oblation
Conclusion

[Page 12]These Words spell thus,

  • Passion, not Pashon
  • Fashion, not Fation
  • Cushion, not Cution
  • Gloucester, not Gloster
  • Worcester, not Worster
  • Salisbury, not Salsbury
  • Leicester, not Lester.
  • Shrewsbury, not Shrosbury
  • Carlisle, not Carlile
  • Westminster, not Westmiste [...]

Another Qualification in Spelling, is rightly to distingui [...] Words of the same Sound, though widely different in the Sense and Signification: Such as these that follow, viz.

A
  • ABel, Cain's Brother
  • Able, to do a Thing
  • A Bell, to ring
  • Accidents, Chances
  • Accidence, a Book
  • Acre, of Land
  • Acorn, of an Oak
  • Achor, a Valley of that Name
  • Advice, Counsel
  • Advise, to counsel
  • Account, Esteem
  • Accompt, of Reckoning
  • Ale, a Drink
  • Ail, Trouble
  • All, every one
  • Awl, for Shoemakers
  • Alley, a narrow Place
  • Ally, a Friend or Confederate
  • Allay, to give Ease
  • Alloy, baser Metal
  • Altar, for Sacrifice
  • Al [...]er, to change
  • Ale-hoof, an Herb
  • Aloof, at a Distance
  • Allow'd, approv'd
  • Aloud, to speak so
  • Amiss, wrong
  • [...], or Mistress
  • Ant, a Pismire
  • Aunt, a Father's Sister
  • Anchor, of a Ship
  • Anker, a Rundlet
  • A Peal, of Bells
  • Appeal, to higher Powers
  • Appear, to be seen
  • A Peer, a Lord
  • Aray, good Order
  • Array, to cloth
  • A Rose, to smell to
  • Arose, did rise
  • Are, they be
  • Heir, to an Estate
  • Arrant, notorious
  • Errand, a Message
  • Arrows, to shoot
  • Arras, Hangings
  • A Scent, or Smell
  • Ascent, a going up
  • Assent, Agreement
  • Assistance, Help
  • Assistants, Helpers
  • Augur, a Soothsayer
  • Augre, to bore with
  • Ax, to cut with
  • Acts, of Parliament
  • Austere, severe
  • Oyster, a Shell Fish
B
  • Babel, the Tower
  • Bab [...]le, to prate
  • Ba [...]on, Hog's Flesh
  • Baken, in the Oven
  • Beckon, to make a Sign
  • Bail, a Surety
  • Bale, of Goods
  • [Page 13] Bald, without Hair
  • Bawl'd, cry'd out
  • Ball, to play with
  • Bawl, to cry aloud
  • Barbara, a Woman's Name
  • Barbary, in Africa
  • Barberry, a Fruit
  • Bare, naked
  • Bear, a Beast, or to bear
  • Bays, of Bay Trees
  • Baize, Cloth of Colchester
  • Base, Vile
  • Ba [...]s, in Music
  • Belly, Part of the Body
  • Belie, to speak falsly
  • Be, they are
  • Bee, that makes Honey
  • Beer, to drink
  • Bier, to carry the Dead on
  • Bell, to ring,
  • Bel, an Idol
  • Berry, a small Fruit
  • Bury, the Dead
  • Blue, a Colour
  • Blew, as the Wind
  • Board, a Plank,
  • Bor'd, a Hole
  • Boar, a Beast
  • Bore, to bore
  • Boor, a Country Fellow
  • Bold, Confi [...]ent
  • Bowl'd, at the Jack
  • Bolt, the Door
  • Boult, the Meal
  • Bow, to bend, or the Bow
  • Bough, of a Tree
  • Boy, a Lad
  • Buoy, of an Anchor
  • Bread, to eat
  • Bred, brought up
  • Breech [...]s, to wear
  • Breaches, broken Places
  • Bruit, a Report
  • Brute, Beast
  • Burrow, for Coneys
  • Burrough, a Corporation
  • By, near
  • Buy, with Money
  • Brews, he breweth
  • Bruise, a Hurt
  • Brewis, of Fat and Bread
C
  • Cain, that kill'd his Brother
  • Cane, to walk with
  • Caen, in Normandy
  • Calais, in France
  • Chalice, a Cup
  • Call, by Name
  • Cawl, or Suet
  • Cannon, a great Gun
  • Canon, a Church Rule
  • Capital, great or chief
  • Capitol, a Tower in Rome
  • Car [...]er, full Speed
  • Carrier, of Goods
  • Cellar, for Liquors
  • Seller, that selleth
  • Ce [...]ser, for Incense
  • Censor, a Reformer
  • Censure, to judge
  • Cen [...]aury, an Herb
  • Century, an hundred Years
  • Centry or Se [...]tinel, a Soldier on Guard
  • Chair, to sit in
  • Chare, a Job of Work
  • Champaine, Wine of France
  • Campaign, a wide Field, or Summer's Expedition
  • Cho [...]er, Rage or Anger
  • Collar, of the Neck
  • Coller, of Beef or Brawn
  • Cieling, of a Room
  • Sealing, with a [...]eal
  • Cittern, for Music
  • Citron, a Fruit
  • [Page 14] Clerk, a Clergyman
  • Clerk, of a Parish
  • Clause, Part of a Sentence
  • Claws, of a Beast or Bird
  • Coat, a Garment
  • Cote, for Sheep
  • Comb, for the Hair
  • Come, hither
  • Commit, to do
  • Comet, a blazing Star
  • Common, usual
  • Commune, or converse
  • Condemn, to Death
  • Contemn, to despise
  • Council, of the King
  • Counsel, Advice
  • Cou'd, or could
  • Cud, to chew as Beasts
  • Current, a passing or running Stream
  • Courant, a Messenger or News-paper
  • Currants, Fruit
  • Crick, in the Neck
  • Creek, of the Sea or River
  • Cousin, a Relation
  • Coz [...]n, to cheat
  • Cymbal, a musical Instrument
  • Symbol, a Mark or Sign
  • Cypress, a Tree
  • Cyprus, an Island
  • Cruse, for Oil
  • Cruize, by the Sea Coast
  • Cygnet, a young Swan
  • Signet, a Seal
D
  • Dane, of Denmark
  • Deign, to vouchsafe
  • Dam, stopping Water
  • Damn, to condemn
  • Dame, a Mistress
  • Dear, of Price
  • Dear, in a Park
  • Deceased, dead
  • Diseased, sick
  • Decent, becoming
  • Descent, going down
  • Dissent, to disagree
  • D [...]ep, low in the Earth
  • Diep, a Town in France
  • Defer ▪ to put off
  • Differ, to disagree
  • Derbe, a City of Asia
  • Derby, a Town of Engla [...]
  • Desert, Merit
  • Desart, a Wilderness
  • Dew, a falling Mist
  • Due, owing
  • Do, to make
  • Doe, a female Deer
  • Dough, Paste
  • Don, a Spanish Lord
  • Done, acted
  • Dun, of Colour
  • Dolphin, a Fish
  • Dauphine, the French King eldest Son
  • Devices, Inventions
  • Devizes, in Wiltshire
  • Doer, that doeth
  • Door, of a House
  • Dragon, a Beast
  • Dragoon, a Soldier
  • Draught, of Drink
  • Drought, [...]ryness
  • Dolour, Grief or Pain
  • Dollar, a Piece of Money
  • Demure, Sober
  • Demur, a Stop or Doubt
E
  • Ear, of the Head
  • E'er, ever
  • Early, betimes▪
  • Yearly, every Year
  • Earth, the Ground
  • Hearth, of the Chimney
  • [Page 15] Easter, the Festival
  • Esther, a Woman's Name
  • Enter, to go in
  • Inter, to bury
  • Elder, not the Younger
  • Eld [...]rn, a Tree
  • Eaten, or swallowed
  • Eton, a Town's Name
  • Eminent, famous
  • Imminent, over Head
  • Enow, in Number
  • Enough, in Quantity
  • Earn, to deserve
  • Yarn, Woollen Thread
  • Yearn, to pity
  • Envy, or Hatred
  • Envoy, a Messenger
  • Exercise, Labour or Practice
  • Exorcise, to conjure
  • Err, to mistake
  • Er, Brother to Onan, Sons of Judah
  • Extant, in being
  • Extent, Distance
F
  • Fain, desirous
  • Feign, to dissemble
  • Fair, beautiful, or a Market
  • Fare, Victuals
  • Faint, weary
  • Feint, a false March
  • Fourth, in Number
  • Forth, to go out
  • Feed to eat
  • Fee'd, rewarded
  • Fir, Wood
  • Fur, or Hair
  • Felon, a Criminal
  • Fellon, a Whitlow
  • File, of Steel
  • Foil, put to the worst
  • Fly, as a Bird
  • Fly, or Insect
  • Fillip, with the Fingers
  • Philip, a Man's Name
  • Flower, of the Field
  • Flour, Meal
  • Floor, of the Room
  • Follow, to come after
  • Fallow, Ground not plow'd
  • Find, to find any thing
  • Fin'd, amerced
  • Fiend, a Devil
  • Flea off the Skin, and also Vermin
  • Flee, to escape
  • Fowl, a Bird
  • Foul, dirty
  • Francis, a Man's Name
  • Frances, a Woman's Name
  • Frays, Quarrels
  • Froise, Pancake with Bacon
G
  • Gall, of a Beast
  • Gaul, France
  • Garden, of Herbs
  • Guardian, an Overseer
  • Genteel, graceful
  • Gentile, a Heathen
  • Gentle, mild
  • Gesture, Carriage
  • Jester, a merry Fellow
  • Groan, with Grief
  • Grown, greater
  • Guilt, of Sin
  • Gilt, with Gold
  • Greater, bigger
  • Grater, for Nutmegs
  • Grave, for the Dead
  • Greave, Armour for the Leg
  • Guess, to imagin
  • Guest, one entertain'd
  • Gluttonous, greedy
  • Glutinous, sticking as Pitch
  • Great, large
  • Grate, for Coals, &c.
  • [Page 16] Graze, to eat
  • Grays, a Town
  • Groat, Four pence
  • Grot, a Cave
  • Gallies, Ships with Oars
  • Gallows, for Criminals
H
  • Hare, of the Fields
  • Hair, of the Head
  • Harsh, severe
  • Hash, minced Meat
  • Haven, a Harbour
  • Heaven, a large Place of Happiness
  • Heart, of the Body
  • Hart, of the Woods, or an over-grown Buck
  • Herd, of Cattle
  • Heard, did hear
  • Hard, not soft, or difficult
  • Here, in this Place
  • Hear, with the Ears
  • High, lofty
  • Hie, away, make haste
  • Him, that Man
  • Hymn, to sing
  • Hail, congeal'd Rain
  • Hale, the Ship
  • Hall, in a House
  • Haul, pull
  • Higher, taller
  • Hire, W [...]ges
  • His, of him
  • Hiss, as a Snake, or to deride
  • Hoar, Frost
  • Whore, a lewd Woman
  • Hole, or Hollowness
  • Wh [...]le, in [...]ire
  • Ho! lo! to call
  • H [...]llow, to make holy
  • Holy, pious
  • Wholly, intirely
  • Home, one's House
  • Holm, Holly
  • Hoop, for a Tub
  • Whoop, or ho! lo!
  • Hugh, a Man's Name
  • Hue ▪ of Colour
  • Hew, with an Ax
I.
  • I, I myself
  • Eye, to [...]ee with
  • Idle, lazy
  • Idol, an Image
  • I'll, I will
  • Ile, of a Church
  • Isle, an Island
  • Oil, of Olives
  • Imploy, in Work
  • Imply, to signify
  • In, within
  • Inn, for Travellers
  • Incite, to stir up
  • Insight, Knowledge
  • Ingenious, of quick Parts
  • Ingenuous, candid
  • Iron, Metal
  • Ironie, speaking by Contra [...]
K
  • Ketch, a Ship
  • Catch, to take
  • Kill, to slay
  • Kiln, for Lime
  • Kind, good natur'd
  • Coin'd, Money
  • Knave, dishonest
  • Nave, of a Whe [...]l
  • Knight, by Honour
  • Night, Darkness
L.
  • Laid, placed
  • Lade, the Water
  • Lane, not a Street
  • Lain, did lie
  • Latin, a Tongue
  • Latten, Tin
  • [Page 17] Lattice, of a Window
  • L [...]ttice, a Woman's Name
  • [...]ettuce, Sallad
  • [...]ease, of a House
  • L [...]ash, three
  • L [...]es, of Wine
  • L [...]ese, old Word for lose
  • L [...]aper, that jumpeth
  • L [...]p [...]r, one leprous
  • L [...]ssen, to make less
  • L [...]sson, to read
  • L [...]st, smallest
  • L [...]st, for fear
  • L [...]thargy, Sleepiness
  • L [...]urgy, Church-service
  • L [...]er, in wait
  • Lyar, that tells Lies
  • Limb, a Member
  • Limn, to paint
  • Line, Length
  • L [...]in, of Veal
  • L [...]w, humble
  • [...], behold
  • Lose, to suffer Loss
  • Loose, to let go
  • Lower, to let down
  • Lour, to frown
M.
  • Made, finished
  • Maid, a young Woman
  • Main, Chief
  • Mane, of a Horse
  • Male, the He
  • Mail, Armour
  • Manner, Custom
  • Manor, a Lordship
  • Market, to buy or sell in
  • Mark it, note it
  • Marsh, low Ground
  • Mash, for a Horse, or of a Net
  • Martin, a Man's Name
  • Marten, a Bird
  • Mead, a Meadow
  • Mede, one of Media
  • Mean, of low Value
  • Mien, Carriage or Aspect
  • Meat, to eat
  • Mete, to measure
  • Message, Business
  • Messuage, a House
  • Mews, for Hawks
  • Muse, to meditate
  • Mighty, powerful
  • Moiety, half
  • Mile, Measure
  • Moil, Labour
  • Might, Strength
  • Mite, in Cheese
  • Moat, a Ditch
  • Mote, in the Sun
  • More, in Quantity
  • Moor, a black
  • Mower, that moweth
  • Moore, barren Ground
  • Mortar, made of Lime
  • Mortar, to pound in
  • Mole, Vermin▪
  • Mould, to cast in
N.
  • Nay, denial
  • Neigh, as a Horse
  • Neither, none of the two
  • Nether, lower
  • Naught, bad
  • Nought, nothing
  • Nigh, near
  • Nye, a Man's Name
  • Nice, curious
  • Niece, a Brother's Daughter
  • Not, denying
  • Knot, to tye
  • Note, mark
  • Note, of one's Hand
  • Nose, of the Face
  • Noah's Ark
O.
  • [Page 18] Oar, of a Boat
  • Ore, crude Metal
  • O'er, over
  • Off, cast off
  • Of, belonging to
  • Our, belonging to us
  • Hour, of the Day
  • Oh! alas!
  • Owe, in Debt
  • One, in Number
  • Own, to acknowledge
  • Order, Rule
  • Oraure, Dung
P.
  • Pair, a Couple
  • Pare, cut off
  • Pear, a Fruit
  • Pattin, for a Woman
  • Patent, a Grant
  • Peer, a Lord
  • Pier, of Dover
  • Peter, a Man [...]s Name
  • Petre, Salt
  • Pail, for Water
  • Pale, of Countenance
  • Pale, a Fence
  • Place, Room
  • Plaise, a Fish
  • Parson, of the Parish
  • Person, any Man
  • Pole, for Hops
  • Poll, of the Head
  • Pool, of Water
  • Pore, with the Eyes, or of the Skin
  • Poor, necessitous
  • Polate, of the Mouth
  • Pallet, Bed
  • Pos [...], a Nosegay
  • Poesy, Poetry
  • Power, mighty
  • Pour, as Water
  • Prey, a Booty
  • Pray, beseech
  • Profit, Gain
  • Pr [...]phet, a Foreteller
  • Practice, Exercise
  • Practise, to exercise
  • Presence, being here
  • Presents, Gifts
  • Princes, the King's Sons
  • Princesses, the King's Daug [...]ters
  • Please, to content
  • Pleas, Defences
  • Precedent, an Example
  • President, Chief
  • Principal, Chief
  • Principle, the first Rule
Q.
  • Quire, of Paper
  • Choir, of Singers
  • Queen, the King's Wife
  • Quean, an Harlot
R
  • Rack, to torment
  • Wreck, of a Ship
  • Rain, Water
  • Reign, of the King
  • Rein, of a Bridle
  • Rays, of the Sun
  • Raise, lift up
  • Race, to run
  • Rase, to demolish
  • Rice, Grain
  • Rise, to get up
  • Red, in Colour
  • Read, the Book
  • Reed, of the Water
  • Relick, a Remainder
  • Relict, a Widow
  • Roe, of a Fish, or a Fema [...] Deer
  • Row, the Boat
  • Right, not wrong
  • [Page 19] Ri [...]e, a Ceremony
  • Write, with a Pen
  • Wright, a Wheelwright
  • Reddish, of Colour
  • Radish, a Root
  • Rear, set up
  • Rere, behind
  • Ruff, for the Neck
  • Rough, not smooth
  • Rie, Corn
  • Rye, in Sussex
  • Wry, crooked
  • Ring, the Bells
  • Wring, the Hands
  • Rime, a Fog or Mist
  • Rhyme, Verse
  • Rind, of Cheese
  • R [...]de, did ride
  • Road, the Highway
  • Rote, got by Heart
  • Wrote, did write
  • Wrought, did work
S.
  • Savour, Taste or Smell
  • Saviour, that saves
  • Sheep ▪ a Beast
  • Ship, for the Sea
  • Sight, View
  • Cite, to summons
  • Sail, of a Ship
  • Sale, of Goods
  • Sink, sink down
  • Cinque, Five
  • Slow, not quick
  • She, Fruit
  • Sow, Seed
  • Sew, with a Needle
  • So, thus
  • Slight, neglected
  • Sleight, of Hand
  • Some a Part
  • Sum, of Money
  • Soul, or Spirit
  • Sole, a Fish
  • Sole, of a Shoe
  • Son, of a Father
  • Sun, in the Firmament
  • Sore, painful
  • Soar, aloft
  • Swore, did swear
  • Stare, to look on earnestly
  • Stair, a Step
  • Stile, to get over
  • Style, of Writing
  • Sound, whole, firm; also Noise
  • Swoon, to faint away
  • Straight, not crooked
  • Strait, narrow
  • Succour, Help
  • Sucker, a young Spri [...]
  • Spear, a Weapon
  • Sphere, a Globe
T
  • Then, at that Time
  • Than, in Comparison
  • Tame, gentle, not wild
  • Thame, in Oxfordshire
  • Tear, to rent
  • Tear, of the Eye
  • Tare, an Allowance in Weight
  • Tare, a Vetch
  • Tail of a Beast
  • Tale, a Story
  • Tiles, for the House
  • Toyls, Nets
  • Toil, to Labour
  • There, in that Place
  • Their, of them
  • Throne, of the King
  • Thrown, as a Stone
  • Tide, a flowing Water
  • Ty'd, made fast
  • Time of the Day
  • Thyme, an Herb
  • Team of Horse [...]
  • [Page 20] Teem, with Child
  • Twice, twice one
  • To, the Preposition
  • Too, likewise
  • Toe of the Foot
  • Tow, to draw
  • Tow, to spin
  • Told, as a Story
  • Toll'd, as a Bell
  • Tour, a Journey
  • Tower, of a Church
V.
  • Vacation, Leisure
  • Vocation, a Calling
  • Veil, a Covering
  • Vale, between two Hills
  • Vain, foolish
  • Vein, of the Body
  • Vane, or Weathercock
  • Value, Worth
  • Valley, a Vale
  • Vial, a Glass
  • Viol, a Fiddle
U.
  • Your, of you
  • Ewer, a Bason
  • Use, Practice
  • Use, to be wont
  • Ewes, Sheep
W.
  • Wade, in the Water
  • Weigh'd, in the Scales
  • Whale, of the Sea
  • Wail, lament
  • Ware, Merchandize
  • Were, was
  • Where, what Place
  • Weigh to weigh
  • Wey, five Quarters
  • Weal, good
  • Wheal, from Scourging
  • Wield, a Sword
  • Weald, of Sussex in Kent
  • Wen, in the Neck
  • When, at what Time
  • White, of Colour
  • Wight, an Island
  • Whist, Silence
  • Wist, knew
  • Wood, of Trees
  • Wou'd, for Would
Y.
  • Yea, Yes
  • Ye, you
  • Ewe, a Sheep
  • Yew, a Tree
  • Yarn, made of Wool
  • Yearn, to weep

Of Stops, Marks, and Points, used in Reading and Writing, with their Places and Significations.

THESE are of absolute Necessity; and great R [...]gard ought to be had to them, to avoid Confusion an [...] Misconstruction, and for the better Understanding of [...] we read and write ourselves; and are likewise of U [...]e [...] others that shall hear us read, or see our Writing: The [...] teach us to observe proper Distances of Time, with the n [...]cessary Raising and Falling of the Tone or Voice in Read [...]ing, and the needful Stops or Marks to be used in Writing that we may understand it ourselves, and that our Meanin [...] may not be misunderstood or misapplied by others.

[Page 21]Stops, or Pauses, considered as Intervals in Reading, are [...]ndeed no more than four; though there are other Marks [...] be taken notice of, but to other Purposes: The Names of these four principal Stops are, viz. a Comma, Semicolon, Colon, and Period or Full Stop; and these do bear to one [...]nother a kind of progressional Proportion of Time; for the Comma signifies a Stop of leisurely telling One, the Semicolon Two, the Colon Three, and the Period Four.—

And are made or mark'd thus:

Comma, (,) at the Foot of a Word.

Semicolon (;), a Point over the Comma.

Colon (:) two Points

Period () a single Point at the Foot of a Word.

, Example of the Comma.) There is not any thing in the World, perhaps, that is more talk'd of, and less understood, than the Business of a happy Life.

; Example of the Semicolon.) It is not a Curse that makes way for a Blessing; the bare Wish is an Injury; the Moderation of Antigonus was remarkable.

: Example of the Colon.) A sound Mind is not to be shaken with popular Applause: But, Anger is startled at every Accident.

. Example of the Period) It is a [...] says Fabius, for a Commander to excuse himself, by saying [...] was not aware of it. A Cruelty that was only fit for M [...]rius to suffer, Sylla to command, and Cataline to act.

By the Examples foregoing, we may easily note, that a Comma is a Note of a short Stay, between Words in the Sentence; and therefore the Tenor of the Voice must still be kept up.—The Semicolon is a little longer, and the Tone of the Voice very little abated.—The Colon signifies perfect Sense, though not an End of the Sentence; and the Voice a little abated, or let fall.—The Period denotes perfect Sense, and the End of the Sentence.

? When the Question is asked, there is a crooked Mark made over the Period thus? and is called a Note of Interro­gation: Example, What could be happier than the State of Mankind, when People lived without either Avarice or Envy? The Time of Pause for this Stop, is the same with the Semicolon.

! If a sudden Crying out, or Wondering, be expressed, then this Mark is made over the Full Stop, thus! and called [Page 22] a Note of Admiration, or Exclamation. Example, Oh the astonishing Wonders that are in the elementary World!

() If one Sentence be within another, of which it is no Part, then 'tis placed between two Semicircles or Parenthesis, made thus () Example, Pompey, on the other Side (that hardly ever spake in Publick without a Blush) had a wonder­ful Sweetness of Nature. Again, if Authors be sure to make Choice of the best; and (as I said before) to stick close to them. Once more; Honour thy Father and Mother (which is the first Commandment with Promise) that it may [...]e well with thee.—In reading a Parenthesis, the Tone must be somewhat lower, as a Thing or Matter that comes in by the bye, breaking in as it were on the main Coherence of the Period. The Time is equal to a Comma, and ought to be read pretty quick, lest it detain the Ear too long from the Sense of the more important Matter.

' Apostrophe is a Comma at the Head of Letters, signify­ing some Letter or Letters left out for quicker Pronounciation; as I'll for I will, would'st for wouldest, sha'n't for shall not, ne'er for never, is't for is it, 'tis for it is, i'th' for in the, o'er for over: Or to denote a Genitive Case; as, my Fa­ther's House, my Uncle's Wife, &c.

/ Accent is [...] over a Vowel, to denote that the Stress of Sound in [...] is on that Syllable.

[...] Breve or [...] Mark over a Vowel, signifies it must be sounded short or quick.

[...] Caret signifies something is wanting, and is placed under­neath the Line, just where any thing omitted, by Mistake, or Forgetfulness, &c. should be brought in.

[...] Circumflex is of the same Shape with the Caret, but is placed over some Vowel, to shew the Syllable to be long, as Eu-phrâ-tes.

[...] Dialysis, or two Points placed over two Vowels in a Word, signifies they are to be parted, being no Diphthong.

- Hyphen, or Note of Connection, is a straight Line; which being set at the End of a Line, shews that the Syllables of that Word are parted, and the Remainder of it is at the Be­ginning of the next Line; and sometimes is used in com­pound Words; as Burnt-sacrifices, Heart-breaking, Soul-healing, Book-keeper, &c. N. B. That when you have not Room to write the whole Word at the End of a Line, but are obliged to finish it at the Beginning of the next, such Words must be truly divided, according to the Rules of [Page 23] Spelling; as re strain, not—res­train. When the Hyphen is placed over a Vowel, it is properly a Dash, and signifies the Omission of m or n; it is much used in old Latin Authors, and sometimes in English, especially in Law Business. Example; It is very comēdable to write a good Hand.

Index, is a Note like a Hand, pointing to something very remarkable.

* Asterism, or Star, directs to some Remark in the Mar­gin, or at the Foot of the Page. Several of them together, denote something defective, or immodest, in that Passage of the Author.

Obelisk, is a Mark like a Dagger, and refers to the Margin, as the Asterism *; And in Dictionaries, it signifies the Word to be obsolete, or old, and out of use.

Paragraph, denotes a Division, comprehending several Sentences under one Head.

§ Section, signifies the Beginning of a new Head of Dis­course, and is used in sub dividing a Chapter, or Book, in­to lesser Parts or Portions.

[] Brackets or Crotchets, generally include a Word or Sentence, explanatory of what went before; or Words of the same Sense, which may be used in their Stead.

" Quotation, or double Comma [...] is used at the Beginning of the Line, and shews what [...] from an Author to be in his own Words.

Thus much for Pointing, Stops, and Marks; which, if carefully heeded and observed, will add Grace and Credit to your Writing.

Of Abreviations.

TO be ready in these, shews a Dexterity in Writing; and is very necessary for Dispatch: For by these, we ex­peditiously express, or set down a Word, shortening it, by making some initial Letter or Letters, belonging to the Word, to express it; as in the Table following.

  • A, For Answer or After­noon
  • A. B. Arts Batchelor
  • A. Bp. Archbishop
  • Acct. Account
  • A. D. Anno Domini, Year of our Lord
  • A. M. Anno Mundi, Year of the World
  • Admrs. Administrators
  • A. M. Artium Magister, Master of Arts
  • Ana. of each a like Quatity
  • Ap. April, or Apostle
  • [Page 24] Adml. Admiral
  • Agt. Against
  • Amt. Amount
  • Anab. Anabaptist
  • Aug. August
  • A. R. Anno Regni, in the Year of the Reign
  • Ast. P. G. Astronomy Pro­fessor of Gresham College
  • Aust. Austin, or Austria
  • B. A. Batchelor of Arts
  • B. D. Batchelor of Divinity
  • B. V. Blessed Virgin
  • Bart. Baronet
  • Bp. Bishop
  • Cha. Charles, or Chapter
  • Cant. Canticles, or Canter­bury
  • Cat. Catechism
  • Cha. Charles, or Charity
  • Chap. Chapter
  • Cent. Centum
  • Ch. Church
  • Chanc. Chancellor
  • Chron. Chronicles
  • Capt. Captain
  • Clem. Clement
  • Col. Colossians
  • Cl. Clericus
  • Co. Country
  • Coll. Colonel
  • Comrs. Commissioners
  • Con. Constance or Constantine
  • Conf. Confessor
  • Cou'd for could
  • Cor. Corinthians or Corollary
  • Cr. Creditor
  • C. R. Carolus Rex, or Charles the King
  • C. C. C. Corpus Christi Col­lege
  • C. S. Custos, Sigilli, Keeper of the Seal
  • C.P.S. Custos Privati Sigil [...] Keeper of the Privy Seal
  • D. Dean or Duke
  • Dan. Daniel
  • Dr. Doctor or Debtor
  • Dea. Deacon
  • Do. Ditto
  • D. Denarii, Pence
  • Dec. Or xber, or 10 ber, D [...]cember
  • Devon. Devonshire
  • Deut. Deuteronomy
  • Dec. Deceased
  • D. C. Dean of Christ Churc [...]
  • Doct. Doctrine
  • D. D. Doctor of Divinity
  • E. for Earl
  • Earld. Earldom
  • Edm. Edmund
  • Edw. Edward
  • E. gr. Exempli gratia, fo [...] Example
  • Engl. England
  • Eliz. Elizabeth
  • Esa. Esaiah
  • Eph. Ephesians
  • Eccl. Ecclesiastes
  • Ex. Exodus, or Example
  • Ev. Evangelist
  • Exp. Explanation
  • Expo. Exposition
  • Esq Esquire
  • Exon. Exeter
  • Fr. French, or France
  • Feb. February
  • Fra. Francis
  • F. R. S. Fellow of the Roy [...] Society
  • G. God, Great, or Gosp [...]
  • Gal. Galatians
  • Gen. Genesis
  • Genmo. Generalissimo
  • Geo. George
  • [Page 25] G. R. Georgius Rex, George the King
  • Gar. Garrison
  • Gen. General
  • Gent. Gentleman
  • Gosp. Gospel
  • Greg. Gregory
  • Hen. Henry
  • Hamp. Hamper
  • Hund. Hundred
  • Hum. Humphry
  • Heb. Hebrews
  • i. e. id est, that is
  • I. H. S. Jesus Hominum Sal­vator, Jesus Saviour of Men
  • Id. Idem, the same
  • Inst. Instance or Instant
  • Ja. James, or Jacob
  • Jan. January
  • Jer. Jeremiah
  • Jes. Jesus
  • Jno. John
  • Jud. Judges
  • Is. Isaac
  • I'll, I will
  • Is't, is it
  • I'd, I had
  • I m I am
  • J. D. Jurium Doctor, Doc­tor of Laws
  • Jos. Joshua
  • K. King
  • Km. Kingdom
  • Knt. Knight
  • L. Lord
  • L. Liber, a Book
  • L. Librae, Pounds
  • Lieu. Lieutenant
  • Lp Lordship
  • Ladishp. Ladyship
  • L. L. D. Legum Doctor, Doctor of Laws
  • Learng. Learning
  • Lon. London
  • Lr. Letter
  • Lam. Lamentations
  • Lev. Leviticus
  • Let's Let us
  • M. Marquis, or Monday, or Morning
  • Mar. March
  • Mat. Matthew
  • M. Manipulus, a Handful
  • M. A Master of Arts
  • Maty Majesty
  • Md. Madam
  • Mons. Monsieur
  • Math. Mathematician
  • Mr. Master
  • Mrs. Mistress
  • M. D. Medicinae Doctor, Doctor of Physick
  • M. S. Memoriae Sacrum, Sacred to the Memory; also Manuscript
  • Mich. Michael, or Michaelmas
  • Min. Minister
  • N. Note, or Nativity
  • Nat. Nathaniel, or Nativity
  • N. B. Nota bene, Note, or mark well
  • Nic. Nicolas, or Nicodemus
  • N. S. New Stile
  • No. Number
  • n.l. Non liquet, it appears not
  • Nov. or [...]ber, November
  • O. Oliver
  • Obj. Objection
  • Obt. Obedient
  • O. W. Old Word
  • O. S. Old Stile
  • Oct. or 8 ber, October
  • Oxon. Oxford
  • P Paul, Paulus, Publius, President
  • Pugil, a Handful
  • Pen. Penelope
  • [Page 26] Pd. paid
  • Par. Parish
  • p. per, or by
  • Pat. Patience or Patrick
  • Per C t. Per Centum, by the Hundred
  • Parl. Parliament
  • Pet. Peter
  • Phil. Philippians, or Philip
  • Philom. Philomethes, a Lo­ver of Learning.
  • Philo-Math. Philo Mathe­maticus, a Lover of the Mathematicks.
  • P. M. G. Professor of Music at Gresham College
  • Pros. Th. G. Professor of Di­vinity at Gresham College
  • Pris. Priscilla
  • Pr. Priest
  • Ps. Psalm
  • Q Queen or Question
  • q. quasi, as it were
  • q. d. quasi dicat, as if he should say
  • q. l. quantum libet, as much as you please
  • q. s. quantum sufficet, a suf­ficient Quantity
  • qr. Quarter, or a Farthing
  • R. Reason
  • R. Rex, King; or Regina, Queen
  • Revd. Reverend
  • Rev. Revelations
  • Rich. Richard
  • Robt. Robert
  • Rog. Roger
  • Ret. Return
  • Re [...]. Prof. Regius Professor, founded by K. Henry VIII.
  • Rom. Romans
  • Rt Honble. Right Honourable
  • Rt Wpl. Right Worshipful
  • St. Saint
  • Sam. Samuel
  • Sect. Section
  • Sept. or 7 ber, Septemb [...]
  • Serj. Serjeant
  • Serv. Servant
  • Shr. Shire
  • Shan't, for shall not
  • Salop, Shropshire
  • Sol. Solution
  • Staff. Stafford
  • Sp. Spain, or Spanish
  • Sr. Sir
  • ss. Semissis, half a Pound
  • S. S. T. P. A Professor, a Doctor of Philosophy
  • Stew. Steward
  • Tho. Thomas
  • Thes. Thessalonians
  • The. Theophilus
  • To. Tobias
  • V. Virgin or Verse
  • U. Use
  • Vid. see
  • Ven. Venerable
  • Viz. Videlicet, to wit, that is to say
  • Wm. William
  • Wp. Worship
  • Wpl. Worshipful
  • W. R. William Rex
  • wn. when
  • Xn. Christian
  • Xt. Christ
  • Xtopher Christopher
  • y e. the
  • y n. then
  • y o. you
  • y m. them
  • y t. that
  • y r. your
  • Z. Zeal
  • &. et, and
  • &c. & caetera, and the or, and so forth.

[Page 27]And now having [...] my Directions concerning [...] ▪ Pointing, &c. I shall proceed to give some Instruc­ [...]ons in relation to the most useful Art of Writing.

When any Person has throughly acquainted himself with [...], and understands good English, &c. the next Step [...], is the Acquiring of the accomplishing Art of fair [...] to put this Spelling in Practice: In order thereto, [...] [...]deavour to give such Directions, and proper [...] as may duly qualify any Person therein.

[...] principally, there must be a fixed Desire and [...] imprinted in the Mind, for its Attainment· For [...] had never acquired, or arrived to any Proficiency [...] I had not had a strong Desire and Inclination to it, [...] being convinced of its excellent Use in Trade, [...] Manner of Business, according to the Verse,

[...] was his Genius, most sublime his Thought,
[...] first fair Writing to Perfection brought, &c.

[...] to the Desire, there must be added a steady Resolu­ [...] [...] go through with it, 'till it is gained; and by a [...] and indefatigable Application, overcome all seeming [...], that may arise in the Progress of its Attainment, [...] to this Distich;

By frequent Use, Experience gains its Growth;
But Knowledge flies from Laziness and Sloth.

DIRECTIONS to BEGINNERS.

[...]IRST, 'tis necessary to be provided with the follow­ing Implements, viz. good Pens, good and free Ink, also good Paper, when arrived to commendable Perfor­ [...]ces; likewise a flat Ruler for Sureness, and a round one [...] Dispatch, with a Leaden Plummet or Pencil to rule [...]: Also Gum Sandrick Powder, (or Pounce as they call [...] with a little Cotton dipp'd therein, which rub gently [...] the Paper, to make it bear Ink the better; particularly [...] full Hands are to be written, such as Text, &c. and [...]pecially when you are obliged to scratch out a Word or [...]etter; for then there will be a Necessity for its Use; And [...] the Place with the Pounce, smooth it with the Haft of the Penknife, or clean Paper, and then you may write [...]hat is proper in the same Place. These Implements are [...] up in these Lines.

[Page 28] A Pen-knife Razor Metal, Quills good Store;
Gum Sandrick Powder, to pounce Paper o'er;
Ink, shining black; Paper more white than Snow,
Round and flat Rulers, on yourself bestow,
With willing Mind, these, and industrious Hand,
Will make this Art your Servant a [...] Command.

To hold the Pen.

THE Pen must be held somewhat sloping, with the Thumb and the two Fingers next to it; the Ball of the Middle Finger must be placed strait, just against the up­per Part of the Cut or Cradle, to keep the Pen steady▪ The Fore Finger lying strait on the Middle Finger; and the Thumb must be fixed a little higher than the End of the Fore Finger, bending in the Joint; and the Pen be so placed, to be held easily without griping. The Elbow must be drawn pretty close to the Body, almost to touch it. You must support your Hand, by leaning on the Table Edge, resting on it, half way between your Wrist and Elbow, not suffering the Ball, or fleshy Part of your Hand to touch the Paper; but resting your Hand on the End of your Little Finger, that and your fourth Finger bending inwards, and supported on the Table as abovesaid. So fixed, and sitting pretty upright, not leaning your Breast against the Table, proceed to the making the small o, the a, e, c, i, m, r, s, w, and x; which must be all made of equal Bigness and Height, the Distance or Width between the two Strokes of the n, must be the same with the Distance or Width of the three Strokes of the m; the same Proportion of Width must be observed in the u, w, and o. The Letters with Stems or Heads, must be of equal Height; as the b, d, f, h k, l, and s. And those with Tails▪ must be of equal Depth▪ as the f, g, p, q, and s. The Capitals must bear the same Pro­portion one to another, with respect to Bigness and Height, as A, B, C, D, E, F, G, H, and I, &c.—This Proportion of Letters, both of Small and Great, must be observed in, and will serve for, all Hands whatsoever. N. B. That all upright S [...]rokes, and those leaning to the left Hand, must be fine or hair Strokes; and all downright Strokes must be fuller or blacker. And when you are in Joyning, where Letters will naturally join, without any straining, take not off the Pen in Writing, especially in Running or Mix'd Hands. Care likewise must be duly taken, that there be an [Page 29] [...]qual Distance between Letter and Letter, and also between Word and Word. The Distance between Word and Word, may be the Space that the small m takes up; but between Letter and Letter, not quite so much. Sit not long at wri­ting (that is, no longer than you improve) especially at the first, lest it weary you, and you grow weary of Learning. Imitate the best Examples, and have a constant Eye at your Copy; and be not ambitious of writing fast, before you can write well: Expedition will naturally follow, after you have [...]ained a Habit of writing fair and free; and 'tis much more [...]ommendable to be an Hour in writing six Lines well, than [...] be able to write sixty Lines in the same Time, which per­ [...]aps is perfect Scribble, and altogether unintelligible. And [...]esides, by a slow and fair Procedure, you will learn in half [...]he Time; and therefore 'tis a vain Thought in a Learner, [...] desire to be quick before he hath acquired Experience, [...]nd a Freedom of Writing by frequent Practice. If you have Cotton in your Ink, look well that there be no Hairs at the Nib of your Pen. Never overcharge your Pen with Ink; [...]ut shake what is too much into the Ink again. When you [...]eave off, keep your Pen or Pens in Water, till you come to [...]our Writing again.

How to make a Pen.

THIS is gained sooner by Experience and Observation from others that can make a Pen well, than by ver­ [...]al Directions. But Note, That those Quills call'd Seconds [...]re the best, as being hard, long and round in the Barrel; [...]nd before you begin to cut the Quill, scrape off the super­ [...]uous Scurff with the Back of your Pen-knife, and most on [...]he Back of the Quill, that the Slit may be the finer, and [...]ithout Gander's Teeth (as the Roughness of the Slit is by [...]ome called.) After you have scraped the Quill as above­ [...]id, cut the Quill at the End, half through, on the back [...]art; and then turning up the Belly, cut the other half or [...]art quite through, viz. about a quarter or almost half an [...], at the End of the Quill, which will then appear [...]rked: Then enter the Pen-knife a little in the back Notch; [...]nd then putting the Peg of the Pen-knife, Haft (or the [...]nd of another Quill) into the back Notch, holding your [...]humb pretty hard on the Back of the Quill, (as high as [...] intend the Slit to be) then with a sudden or quick [...]witch, force up the Slit; it must be sudden and smart, that [Page 30] the Slit may be the Clearer: Then by several Cuts of [...] Side, bring the Quill into equal Shape, or Form, on [...] Sides, [...] [...]aving brought it to a fine Point, place the [...] of the Nib on the Nail of your Thumb, and enter the [...] a [...] the Extremity of the Nib, and cut it through, a [...] sloping: Then with an almost downright Cut of the Kni [...] cut off the Nib; and then by other proper Cuts, finish [...] Pen, bringing it into Handsome Shape, and proper For [...] But meddle not with the Nib again, by giving it any [...] or fine Cuts; for that causes a Roughness, and spoil [...] But if you do, to bring the Nib the evener, you must [...] it again, as above directed. ☞ Note, That the Breadth the Nib must be proportioned to the Breadth of the [...] or down-right black Strokes of the Letters, in whatsoe [...] Hand you write, whether Small or Text. Note also, [...] in your sitting to write, you place yourself directly again [...] fore-right Light, or else to have it on your left Hand, ( [...] I esteem best) but by no Means to have the Light on [...] right Hand, because the Shadow of your Writing-Hand [...] obstruct your Sight, and therefore is very improper. [...] therefore, me thinks, all Persons in fixing up their Acco [...]ting Houses, should have a particular Regard to their [...], in respect to what was before mentioned.

Thus far for Direction. Now for Application. I [...] here set Copies of the most usual, fashionable, and c [...]mendable Hands for Business; with Alphabets of Great [...] Small Letters proper to each. Be sure you make your [...] well, (both Small and Great) before you [...] joining. Be careful in Imitation, and observe the [...] Directions, and without doubt you will gain your Command of Hand, or the Art of striking Letters, & gained by frequent practising after good Examples.

[Page 31]

N. B. 'Tis necessary for all those who would qualify themselves for Business, often to imitate this Print-Hand; to make clean Marks on Bales, or plain Directions on Parcels.
[Page 32]

Copies in Prose, and Clinking, in Alphabetical Order

A.

ART is gained by great Labour and Industry.

A covetous Man is always, as he fancies, in Want▪

Add to your Faith Virtue, and to Virtue Knowledge.

A blind Man's Wife, they say, needs no Painting.

A comely Countenance is a silent Commendation.

A Place of ill Example may endanger a good Man.

A prudent Man values Content more than Riches.

A virtuous Mind is rather to be chosen than Promotion.

A fair Piece of Writing is a Sort of speaking Picture.

All mundane Things run a continual Round.

Authority is the main Point in Government.

All God's Commandments keep most divinely pure.

A Man's Manners oft-times forms his Fortune.

A great Lyar is seldom believ'd, tho' he speaks Truth▪

All evil Things and vain, strive never to maintain.

A virtuous minded Youth, will ever love the Truth.

A prudent Youth and wise, will not Advice despise.

All you that write well, strive others to excel.

Abundance ruins some, but Want makes all to moan▪

Amendment still should shine, in all and every Lin [...].

A greater Loss can't be, than that of Liberty.

A good and virtuous Lad, will shun whate'er is bad.

Abundance proves a Snare, but most of Want are [...]

All Idleness avoid, by it most are destroy'd.

All idle lazy Boys, obstruct their Parents Joys.

A Man by Conduct may keep Misery away.

All Mishap hath been occasion'd by our Sin.

Avoid th' Occasion still, of running into Ill.

A Youth that would transcend, mu [...] ever mind to me▪

A Lad that would excel, must mind his Copy well.

B.

Bounty is commendable in some, but it ruins others.

By a commendable Deportment we gain Reputation.

By Delight, and some Care, we come to write fair.

By Diligence and Industry, we come to Preferment.

Beauty without Virtue, is but a painted Sepulchre.

Beauty commands some, but Money all Men.

By constant Amendment, we rise to Preferment.

Brave Men will do nothing unbecoming themselves.

Be wise and beware; of blotting take care.

[Page 33]Bounty is more commended than imitated.

By Iniquity and Sin, Misfortunes enter in.

By Idleness and Play, Youth squander Time away.

Barren are those Joys, we waste away in Toys.

Bless'd are their Joys above, who do their Time improve.

Badness brings all Sadness, therefore follow Goodness.

By trusting to To-morrow, Men plunge themselves in Sorrow.

Be wise betimes, shun darling Crimes.

C.

Contentment is preferable to Riches and Honour.

Can they be counted wise, who Counsel do despise?

Care mixed with Delight, will bring us soon to write.

Consider the Shortness of Life, and Certainty of Death.

Contentment is a Gem, beyond a Diadem.

Competency with Content, is a great Happiness.

Contention and Strife, make uneasy our Life.

Courtiers receive Presents in a Morning, and forget 'em by Night.

Caution and Care, oft baffle a Snare.

Contentment makes a Man happy without a Fortune.

Censure no Man, nor detract from any Man.

D.

Deride not Infirmities, nor triumph over Injuries.

Delight and some Care, will make you write fair.

Delight in Virtue's Ways, and then you'll merit Praise.

Death conquers potent Princes, and their Powers.

Delight in what you undertake to learn.

Duty, Fear, and Love, we owe to God above.

Death is before the old Man's Face, and may be at the young One's Back.

Death only can declare, what Dust the Bodies of all Mortals are.

Drinking is the Drowning of Cares, not the Cure of them.

Death destroys not the Soul, but an ill Life does.

Do to others as you would, that they unto you should.

Delay is the Remora to all good Success.

Deprive no Person of his lawful Due, lest they should do the same by you.

Delight and Pleasure's but a golden Dream.

Death is less feard' by a Fool than a Philosopher.

E.

Endless Joys have those, whose Sins are [...] Foes.

Every Plant and [...] to us God' [...] [...].

[Page 34]Example oft doth rule, the wise Man and the Fool.

Examples oft prevail, when Arguments do fail.

Every idle Thought, to Judgment must be brought.

Every Sluggard is the Cause of his own Misfortune.

Envious Men do fret, when they see others get.

Evil Company makes the Good bad, and the Bad worse.

Experience is the best Looking glass of Wisdom.

Even at Head and Feet, be sure your Letters keep.

Endeavour to do well, and then you may excel.

Every Man is right, that mixes Profit with Delight.

Evil Men and sly, take care how you come nigh.

Envy and Care, make the Body grow spare.

Every money'd Man, hath others at Command.

F.

Fair Words commonly dress foul Deeds.

Fair Faces have sometimes foul Conditions.

Few do Good with what they have gotten ill.

Future Events must be left to Providence.

Fools are ruled by their Humour, but wise Men by Interes [...]

Firm keep your Mind on Things that are sublime.

Fear is a good Watchman, but a bad Defender.

Fate will still have, a kind Chance for the Brave.

Fraud in Childhood, will become Knavery in Manhood.

Fear without Hope turns to Despair.

Faith and Hope are both dead when divided.

Fortune at some Hours to all is kind.

Feign'd Looks oft hide what the false Heart doth know

Fortune and Fame create a great Name.

Friends in Adversity are not often found.

Fools and knaves are not Companions for honest Men.

Frugality and Industry are the Hands of Fortune.

G.

Godliness with Contentment is great Gain.

Good Manners in a La [...] will make his Parents glad.

Great Mind [...] and small Means ruin many Men.

Good Manners, Grace and Truth, are Ornaments in Youth

Good Men, as well as bad, have sometimes Fortunes sad▪

Great Good you sure will find, if [...]ou are well inclin'd.

Godliness hath the Promise of the [...]ife that now is, &c.

God's Works only are perfect in their Kind.

Gluttony ransacks Noah's Ark [...] the Riot of a Meal.

Grief [...] Breast, will never let you rest.

Greater [...] than of Play.

[Page 35]Great Men, tho' they shou'd, are not always good.

Good Men are safe when wicked Ones are at odds.

Get what you get honestly, and use it frugally.

God is Omnipresent, True, and Almighty.

H.

Hasty Resolutions are seldom fortunate.

Haste makes Waste of Paper, Ink and Time.

He that stumbles, and falls not, mends his Pace.

Honour and Renown will the Ingenious crown.

Hypocrites first cheat the World, and at last themselves.

Human Life will human Frailties have.

Honour that is true, 'tis lawful to pursue.

He that sends a Fool of an Errand, ought to follow him.

Honours are Burthens, and Riches have Wings.

He is a wise Security, that secures himself.

He that sins against Conscience, sins with a Witness.

Honour the hoary Head, that Virtue's Paths do tread.

Happy are their Joys, who turn away from Toys.

Hours fly swift away; improve each Moment in the Day.

He that swims in Sin, must sink in Sorrow.

He that fears not an Oath, will not tremble at a Lye.

He hath his Work half done, that hath it well begun.

I.

Instruction, and a good Education, is a durable Portion.

Ignorance is the greatest Enemy to Learning.

[...]n praising sparing be, and blame most sparingly.

[...]maginary Toys, do please some idle Boys.

Intemperance is attended by Diseases, and Idleness with [...].

It is good to have a Friend, but bad to need him.

Idleness and Sloth, decreaseth Learning's Growth.

Innocency need not fear the Lion, or the rugged Bear.

It is better to be unborn than untaught.

It is too late to spare, when the Bottom is bare.

Idleness hath no Advocate, but many Friends.

Improvement of Parts, is by Improvement of Time.

If you'd win a Pen of Gold, first learn well the Pen to hol [...].

It is the Work of an Age, to repair the Miscarriage of an Hour.

K.

Keep a close Mouth, if you'd have a wise Head.

Kings, as well as mean Men, must die.

Kings may command, and Subjects must [...]

Kingdoms and Crowns, must in the [...]

Knowledge sublime, is gained by [...]

[Page 36]Keep at a Distance from Company that's ill.

Keep good Decorum in your Words and Deeds.

Keep close your Intention, for Fear of Prevention.

Kings may win Crowns, but cannot conquer Death.

Keep Faith with all Men, and have a Care of a Lie.

Keep good Company, if you'd keep a good Name.

Knowledge, if abus'd, is like a Gem ill us'd.

Kingdoms bring Care, and Crowns are heavy Things to wea [...]

Keep out evil Thoughts by entertaining good Ones.

Kind Actions neglected, make Friendship suspected.

Keep safe good Counsel, and entertain not ill Advice.

Kindl [...] not Passion's Fire, it b [...]ns with dreadful Ire.

L.

Learn to live, as you would wish to die.

Love and Honour will bear no Rivals.

[...]earn to unlearn what you have learnt amiss.

[...]earn now, in Time of Youth, to follow Grace and Tru [...]

[...]iberty is grateful to all, but destructive to many.

[...]ying is the Duty of none, but the Custom of many.

[...]earning do but love, and then you will improve.

[...]erality, without Discretion, becomes Profuseness.

[...]et no Jest intrude upon good Manners.

Learn now, in youthful Prime, to husband well your [...]

Learn how to make as well as use a Pen.

Liberality should have no Object but the Poor.

Lost Opportunities are very rarely, if ever, recovered.

Let not the Work of To-day be put off 'till To-morrow.

Laugh not out of Measure, nor out or Season.

M.

Money makes honest Men and Knaves, Fools and [...]

Monuments of Learning are the most durable.

Many know Good, but do not the Good they know.

Make use of Time now whilst you'r in your Prime.

Money commonly corrupts both Church and State.

Many think not of living, 'till they can live no longer.

Money pleads all Causes, and defends all Titles.

Many, when they have fill'd their Bellies, complain of [...] Stomac [...]

Measure not Goodness by good Words only.

Marriage is out of Season, if we are either too Young too [...]

Most precious Time esteem, which no One can redeem.

[Page 37]Many live Beggars all their Lives, that they may not die so.

Money make [...] some Men mad, many merry, but few sad.

Many are led by the Ears more than by the Understanding.

Most precious Things are still possess'd with Fear.

Many are made Saints on Earth, that never reach Heaven.

Men of Intrigue commonly sail with all Winds.

Money answers all Objections, and removes all Scruples.

Money and Poverty make great Knaves and little Ones.

Misfortune is the Touchstone of Friendship.

Marriage, say some, breeds Cares and Cuckolds.

Mend your Manners, and that will mend your Fortune.

Many want Help that have not the Face to ask it.

Momentary and vain, is all earthly Gain.

N.

Nothing is constant in this uncertain World.

Necessity is commonly the Mother of Invention.

Next to a good Conscience, prefer a good Name.

None so high can be, as no Mis-hap to see.

Nothing is so hard but Diligence may overcome.

No Task's too hard, when Heaven's the Reward.

None can lay himself under an Obligation to do Ill.

Never lament or weep, for Loss of what you cannot keep.

Noise and talk, without some Rule, doth indicate that Man a Fool.

Nature seldom changes with the Climate.

Never study to please others, and thereby ruin yourself.

Nature's oldest Law we find, is that we to ourselves be kind.

O.

Opportunity neglected brings severe Repentance.

On present Time depends our future State.

Opus and Usus, as we read, are sometimes Latin for our Need.

Of what gives most Delight, we soonest lose the Sight.

Omitting doing Good, is a committing Evil.

Orators are more solicitous to speak well than to do so.

Our Sand doth run apace, and soon we end our Race.

Our Inclinations get the Rein, to gain a Point we should restrain.

Our Minds must be cultivated, as well as our Plants.

Other People's Death should be Memento's to our own.

Our early care should be, to live most piously.

Our Time of Life is call'd a Span, by which observe how frail is Man.

One false Step sometimes prevents another.

[Page 38]

P.

Provide against the worst, and hope for the best.

Poor Men want many Things, but covetous Men all.

Patience and Time run thro' the roughest Day.

Put to your Tongue a Bridle, that it talk not idle.

Pain, Disgrace, and Poverty, have frightful Looks.

Prayers and Provender hinder no Man's Journey.

Put not off the main Business of Life, to the very Article of Death.

Pain we can count, but Pleasure steals away.

Poor Freedom is better than rich Slavery.

Patience is the Lord of the lean Meat of Adversity.

Passion and Partiality govern in too many Cases.

Perfection in this World, is Virtue; and in the next, Know­ledge.

Q.

Quick Promisers are commonly slow Performers.

Quietness and Content are Mates most excellent.

Qualify exorbitant Passions with Quietness and Patience.

Quiet Men have quiet Minds, and enjoy Content.

Quicken Learning with Alacrity and Delight.

Quarrelsome Persons sometimes meet with their Match.

Quot Homines tot Sententiae [...] [...] many Men, &c.

Quills are made for Pens, [...]nd Pens for Letters.

Quietly learn to bear a C [...]oss, if we repine, 'tis to our Loss.

Questions in Jest, no serious Answers need.

Quench Passion's Heat; don't suffer it to reign.

Quantity with some is what they'd hit; but Quality prevails with Men of Wit.

R.

Remember your Duty to God, your Neighbour and yourself.

Repentance comes too late, when all is consumed.

Reason should always guide, and o'er our Acts preside.

Rep [...]tation is the Darling of human Affection.

Rest continu'd long, makes Idleness grow strong.

Rely on Virtue more than Blood; for that is what you shou'd.

Repent To-day, To-morrow may be too late.

Reputation is like a Glass, when crack'd, it will be crazy▪

Reputation is gain'd by many Actions, and lost by one.

Remember Death, and do not forget Judgment.

Religion in Hypocrites, is as it were but Skin deep.

Relations and Friends, pursue their own Ends.

[Page 39]Religion hath and doth give Countenance to much Wickedness.

Riches serve a wise Man, and rule a Fool.

Run no great Risque for 'vantage small, tho' some for Money hazard all.

Reason's Dictates follow still; which if you do, you'll ne'er do Ill.

Righteous Mens Prayers shall be regarded.

Repentance is a quite forsaking Sin; but he repents not that remains therein.

Resolve to amend, and pursue it to your End.

Review the Time that you have mispent; think upon it, and lament.

Recreation should fit us for Business, not rob us of Time.

S.

[...]in and Sorrow are inseparable Companions.

[...]ome are too stiff to bend, and too old to mend,

[...]ome willinglier discharge a Reckoning, than pay a Debt.

[...]in is most certain, first Cause of Misfortune.

[...]tudy to live quiet, and to do your own Business.

[...]ome in their Zeal are hot, but Knowledge they've not.

[...]et Bounds to Zeal by Discretion.

[...]ilence is the Sanctuary of Prudence and Discretion.

[...]oth is an Argument of a mean and degenerate Mind.

[...]hort and therefore vain, is all earthly Gain.

[...]oft Words, sometimes, work upon the proudest Heart.

[...]leep and Idleness are Enemies to Learning.

[...] is the Cause of Shame; who love it are to blame.

[...]mall Means, and large Minds, ruin many Men.

[...]hort, are all Extreams, whether of Good or Ill.

[...]pend Time in good Duties▪ and Treasure in good Works.

[...]ome go fine and brave, finely to play the Knave.

[...]ix Foot of Earth, ends all Distinctions of our Birth.

[...]ome must die, that others may live, said the Grave-dig [...]r.

[...] People are commonly pleas'd with silly Things.

[...]ome are full of oral Sanctity, and mental Impiety.

[...]mall Profit comes from all ungodly Gain.

T.

[...] up a Child in the Love and Practice of good Manners.

The End of Mirth is many times the Beginning of Sorrow.

[...]ime is so swift of Foot, that none can overtake it▪

[...]ime passeth swift away, no Mortal can it stay.

[...]ime passeth swift away, improve therefore each Day.

[...]he doing nothing, is very near doing Evil.

[Page 40]Those who won't mend To-day, shall have more Worl [...] To-morrow▪

The Borrower is a Slave to the Lender; and the Security a Slave to both▪

Truth is the strongest Bands of human Society.

The Endowments of the Mind, ought not to be confin'd.

There's no discerning Pate, that can contend with Fate.

The Destruction of the Poor is their Poverty.

The Country cares not what the City thinks.

To do Good is the Way to find it. 1753.

'Tis just so much lost as is idly spent.

There is no such Thing in Nature as Perfection.

Time, Tide, and Carriers, will for no Man stay.

The Unfortunate are insulted by every Rascal.

'Tis inhuman to sport with another's Infirmities.

V.

Virtue is first to be sought for, and Money the next.

Vain and transitory, is all mundane Glory.

Virtue and Fortune work Wonders in the World.

Value more good Conscience than a great Fame.

Unwillingly go to Law, and willingly make an End.

Understanding a Thing is half doing it. 1746.

Variety is the Happiness of Life. 1 2 3 4 5 6 7.

Virtuou [...] and brave Actions gain Reputation.

Use soft Words and hard Arguments. 1 2 3 4 5

Virtue is commended of all, but follow'd by few.

Unthankfulness is the Cause of the Earth's Unfruitfulness.

Vain Conceitedness is ridiculed by all. 1749.

Virtue is seldom found a Match for Power.

Understand Things not by their Form, but Quality.

Virtue all commend, but few do it attend.

Union and Peace, make Discord to cease. 1760.

Valour and Greatness, are preferr'd before Neatness.

Vain and foolish Things, Disreputation bring.

Virtuous Actions will bring Reputation still.

W.

What is more vain than publick Light to shun.

Who fears no Bad, stands most unarm'd to Ill.

What pleases God must be, none alters his Decree.

We are many Times deceiv'd with the bare Shew of [...]

Women and Wine, tho' they smile, they make Men pine.

When Fortune knocks, b [...] sure to ope the Door.

Wine is a Turn-coat; first a Friend, then an Enemy.

[Page 41]What is violent is seldom permanent. l. 4.10.9.

When good Cheer is lacking, our Friends will be pac [...]ing.

We dance well, while Fortune plays on the Musick.

We keep a better Account of our Money than our Time.

Wickedness in Jest leads us to Wickedness in Earnest.

We must not blame Fortune for our own Faults.

Where Knavery is in Credit, Honesty is put out of Counte­nance.

We must look to Time past, to improve what's to come.

What is fixed in our Hearts, is seldom out of our Heads.

Wickedness comes on by Degree [...], as well as Virtue.

Would you be rich, be industriou [...]; if wise, be studious.

X.

Xenophon was a great Captain, as well as a Philosopher.

Xerxes wept at the Thoughts that his vast Army would be dead in 100 Years.

Xerxes whipt the Sea because it would not obey his Command.

[...], tho' a Philosopher, was very dull and heavy.

[...] liv'd without Sickness one hundred and seven Years.

[...] of the best for ever mind, and imitate in kind.

[...] bad Thoughts, and what is Sin, forth of your Mind, and let what's good come in.

Xamine well how you improve, for that will be as you your Learning love.

Xercise will much Improvement gain. 1 2 3 4 5 6.

Xperience is the Mistress of all Arts and Sciences.

Xcel in what you can, and strive to lead the Van.

Xpress your Desire to learn by your Diligence.

Y.

Youth is full of Disorder, and Age of Infirmity.

Young Men lament your Minutes mispent.

Your Time improve, and squand [...]r't not away.

Your Spelling mind, and Sense of what you write.

Yield quietly to what must come unavoidably.

Young Men in Strength should provide against Age and Weakness.

Youth in their Prime, should manage well their Time.

Youth to the Grave do go, as well as the Aged do.

Yield yourself Servant to Righteousness and to Holiness.

Your Copy mind, write fair, and of blotting beware.

Your Care should appear by writing most fair.

Your Delight and your Care will make you write fair.

[Page 42]

Z.

Zeal, in a good Cause, commands Applause.

Zeal, mixt with Love, is harmless as the Dove.

Zealously strive, with Emulation write, 1753.

Zealously strive for an eternal Crown. 1 2 3 4 5.

Zeno was the first of the Stoic Philosophers.

Zeal without Knowledge, is but Religious Wild-fire.

Zaccheus he was low but yet his Faith wa'n't so.

Zeal, if not rightly directed, is very pernicious.

Zealously bend amain fair writing to attain.

Short Lines for Text Hand.

Abandon whatsoever's Ill—Be Wise betimes.

Care destroys the Body—Do the Things that are Just.

Expect to receive as you give—Frequent good Company

Give what you give chearfully—Have good Men in [...]

Imitate that which is good—Keep God's Commandmen [...]

Learn to be wise—Money answers all Things.

Nothing get, nothing have—Observe Modesty.

Pleasures are very short—Pains are very long.

Quit all Revenge—Quiet your Passions.

Recompence a good Turn—Repent of your Sins.

Spare for to live—Sin very little.

Time will improve—Turn from your Sins.

Use moderate Pleasure—Use not bad Company.

Vain are some Pleasures—Vile are some Vulgar.

Wisdom is the principal Thing—Wise Men are scarce.

Xenophon and Xenocrates—Zeno and Zenobia.

Double Lines in Verse.

All you that in fair Writing would excel,
How much you write regard not, but how well.
Bear your Pen lightly, keep a steady Hand,
And that's the Way, fair Writing to command,
Carefully mend in each succeeding Line,
For that's the Way to reach to what is fine.
Descending Strokes are dark, but upwards small;
Even at Head and Feet keep Letters all.
From Blots keep clean your Book; and always mind
To have your Letters all one Way inclin'd.
Grace every Letter with perfect, full and small,
And keep a due Proportion in them all.
[Page 43]Hold your Pen lightly, gripe it not too hard,
And with due Care your Copy well regard.
[...]oin every Letter to its next, with Care,
And let the Stroke be admirably fair.
Keep a light Hand, and smoothly glide along.
[...]scending fine, and downward Strokes are strong.
Let graceful Beauty in each Line appear,
And see the Front do not excel the Rear:
Majestie Grace, beautiful and strong,
[...]oth, or else ought, to every Line belong.
No rough Edges ever should be seen:
[...]ut all the Letters should be smooth and clean.
[...]f Care depends the Beauty of each Line,
[...]or that alone will make your Art to shine.
[...]raise is deserving to the careful Hand,
[...]ut to the Unthinking, doth Correction stand.
Quit yourself nobly, with a prudent Care,
[...]f clumsey Writing, and of Blots beware.
[...]emember strictly what the Art enjoins,
[...]qual siz'd Letters, and as equal Lines.
[...]mall Letters must of equal Height be seen;
[...]he same of Great; both beautifully clean.
[...]ime and Delight will easy make the Task:
[...]elight, Delight's the only Thing I ask!
[...]ain are the Hopes of those that think to gai [...]
This noble Treasure, without taking Pain.
Whilst idle Drones supinely dream of Fame,
[...]he Industrious actually do get the same.
[...]amples of the best, with Emulation strive,
[...]o imitate, and then your Name'll survive.
[...]outh is the Time for Progress in all Arts;
[...]hen use your Youth to gain most noble Parts.
[...]eal for Attainment of each Art should burn
With fervent Warmth, then to Account 'twill turn.

Since good Ink is necessary to good Writing, I shall give Receipt or two for making some of the best Black Ink in [...] World, which is as follows, viz.

A Receipt for Black Ink.

TO six Quarts of Rain or River Water, (but Rain Wa­ter is the best) put one Pound and a Half of fresh blue [...] of Aleppo (for those of Smyrna are not strong enough) [Page 44] bruised pretty small; 8 Ounces of Copperas, clean, rock▪ and green; also 8 Ounces of clean, bright, and clear [...] Arabick; and 2 Ounces of Roche Allom: Let these [...] together in a large Stone Bottle, or clean Stone Pot, earthen Pot, with a narrow Mouth to keep it free from [...] shake, roll, or stir it well, once every Day, and you [...] have excellent Ink in about a Month's Time: And [...] Older it grows, the better 'twill be for Use.

Ingredients for a Quart.

1 Quart of Water, 4 Ounces of Gall [...], 2 Ounces of [...], and 2 Ounces of Gum, mix'd and stirred as above

☞ If you soak the green Peeling of Walnuts (at [...] Time of the Year when pretty ripe) and Oak Saw-dust small Chips of it, in Rain Water, and stirr'd pretty [...] for a Fortnight, and then strain'd, and the Water used [...] the same Ingredients as above, the Ink will still be stron [...] and better.

How to make Red Ink.

TAKE 3 Pints of Stale Beer, (rather than Vine [...] and 4 Ounces of Ground Brazil Wood; simmer [...] together for an Hour; and then strain it thro' a Flannel, &c, then bottle it up (well stopped) for Use.

Or you may dissolve half an Ounce of Gum Stennega, Arabick, in half a Pint of Water; then put a Penny [...] of Vermillion into a small Gallipot, and pour some of [...] Gum Water to it, and stir it well, and mix it together [...] a Hair-pencil, to a proper Consistency; but it will not inc [...]porate presently, but by the next Day it will; then hav [...] a clean Pen, dip it into the Ink, having first well stirre [...] with the Pencil, and then you may use it: It is a fine [...] curious Red, tho' not so free as the other. And after [...] same manner, you may make any other colour'd Ink, Blue, Green, Yellow, Purple, &c. having divers Gallip [...] for that Use. In like manner you may mix the Shell [...] for curious Occasions, pouring two or three Drops, accord [...] to Direction, into the Shell, and mix it well with a [...] Hair Pencil, and with it put a little into a clean Pen, [...] The small Shells may be bought a some Fan-sellers, [...] Fan-painters, at two or three for Two-pence; or the [...] ones (which are the best) at the Colour-shops, at Six- [...] a Piece.

[Page 45]

To keep Ink from Freezing or Moulding.

[...]N hard frosty Weather▪ Ink will be apt to freeze; which [...] if [...] it doth, it will be good for nothing; for it takes [...] all its Blackness and Beauty. To prevent which (if [...] have not the Conveniency of keeping it warm, or from [...] Cold) put a few Drops of Brandy, or other Spirits, into [...] and it will not freeze. And to hinder its Moulding, put [...]ittle Salt therein.

[...]miliar Letters on several Occasions, and on divers Subjects.

BEFORE we enter upon Arithmetick, it may be proper to give some Examples of Letters on various Subjects, [...] upon divers Occasions; which Letters frequently read [...], and sometimes copied, it may be a good Introduction, [...] handsome Style of Sense, and to a commendable Man­ [...]r [...] of Writing▪ besides the Help and Use they may be of in [...] and observing the Method of Spelling good English [...] orthographically placing Great Letters, or Capitals, [...]here they ought to be; and also an imprinting in the Mind [...] due Notion of Points, Stops, &c. and when and where [...] be made.

Let [...]ers are variously worded, and ought properly to ex­ [...]es [...] the Desi [...]es, Thoughts, &c. of the Writer to the [...]eader, that thereby the Receiver of the Letter may fully [...]derstand, and be justly inform'd of the Occasions, Wants, [...] Intentions of the Sender.

Letters being writ on divers Subjects, and on sundry Oc­ [...]sions, they may be ranked under these Denominations, or [...]veral Heads following, viz. Letters of proffered Assistance, [...]etters Consolatory, Letters of Thanks, Letters Congratulatory, [...] of Repro [...]f, Ditto of Excuse, Ditto Accusatory, Ditto [...] A [...]vice or Counsel, Ditto of Recommendation, Ditto [...], Ditto of Remorstrance, and Letters of Visit, properly [...] Familiar Letters, Letters of Business; and lastly, Mixed [...]etters, that is, on various Subjects, and different Affairs.

I shall not have Room to touch upon every one of those [...]articularly; but I shall give sundry Examples promiscuously [...]xhibited, and are such as these that follow, viz.

[Page 46]

A Letter from a Son to his Father.

Honoured Father,

WITH all dutiful Respect, I trouble you with these Lines, to enquire of the good State of your Health, (of which I shall be extremely glad to hear) and to present you my most humble Duty, and Tenders of filial, and most affectionate Service I have not had the Favour of my Letter from you, since that from you dated the 8th of Oct▪ last, which I reply'd to the very next Post, and in such Par­ticulars as you enjoin'd me. I have sent you, Sir, by Samuel Simple, the Pemsey Carrier, a Spaniel Dog, which is an ex­cellent good one of his Kind, and fit for the Sport of your Place; his Name is Tray, and is very free for the Water and if he hath any Fault, it is being a little too eager, bu [...] he is young, and may be brought to what you please to have him. I hope my Sister Mary is well, to whom pray give my kind Love, and also be pleased to accept of my Duty to yourself, which is the Present needful from,

Sir,
your most Dutiful Son, and humble Servant, Anthony Addlehill.

The Answer.

Dear Toney,

I Received your Letter of the 6th Instant, and I take no­tice of your dutiful Respect and kind Wishes for my Health, which, I thank God, I prefectly enjoy at present▪ as I wish and hope you do yours.—I received your Presen [...] of the Dog; but the poor Cur was almost starv'd, having (as I suppose) had nothing on the Road; but he is now in good Condition, and hath been try'd as to his Mettle, and find he is a good one. I have sent you by the Carrier hal [...] a Dozen wild Ducks, which Tray fetch'd when I had [...] them. Your Sister Molly remembers her kind Love to you and hath sent you a Turkey, and a Chine of Bacon, to which I wish you (and your Friends, if you invite any) [...] [Page 47] good Stomach. With my Blessing and Prayers to God for you, conclude your tender and very

Loving Father, Andrew Addlehill.

P. S. We have a great many Wild Fowl in our Level, so that you may expect another Present of that Kind in a little Time.

Note, That these four short Lines are called the Postscript, because they are writ after, when the Body of the Letter is done.

A Letter from a Young Man to his Uncle.

Honoured Uncle, SIR,

THE many kind and courteous Things that you have done for me, oblig'd me, in Point of Gratitude, as well as Duty, to return you my most humble Thanks, and to offer you my poor, but real and hearty Service, in the Af­fair between you and Mr. A. B. of this Place: And if you'll please but to communicate to me your Intentions, and give me your Directions therein, I shall observe and follow them with all Punctuality; and will from time to time give an exact Account of my Negociations in that Affair.

So expecting to receive your Commands by the first conve­nient Opportunity, I rest and remain,

Sir,
your most obliged Nephew, and very humble Servant, Brian Bing.

The Uncle's Answer.

Nephew,

I Take your Offer of Service to me in the Business between me and Mr. A. B. of your City, very kindly, and think more fitter to adjust that Aff [...]ir than yourself; but I am un­willing to go to Law, and had rather, much rather, that you would endeavour to bring him to some reasonable Ac­commodation; for in such Contests the Winner is a Loser at the Upshot. So if I can bring him to any reasonable Terms, I shall be very glad: You understand the Affair, [Page 48] and so I shall commit it wholly to your discreet and good Management, being persuaded that you'll do for me as for yourself: So I remain

your Loving, And Affectionate Uncle, Bazil Bing.

A Letter from a Niece to her Aunt.

Madam,

THE Trouble I have already given you, puts me to the Blush, when I think of intruding again on your Goodness; but Necessity, that frequently puts us upon what we have not always a Mind to, and forces us against our Inclinations, is now the Motive that induces me to be thus troublesome. Pray dear Madam, excuse me, if I once more beg your Assistance in this Time of my unlucky Misfortune, and I shall ever have a grateful Remembrance of your Good­ness to me; and I hope I shall be one Time or other in a Capacity of making some Returns of the many Obligations your Goodness hath conferred upon me,

your most respectful [...] Niece, And humble Servant, Penelope Pinch.

A Letter of proffer'd Assistance to a Friend.

Dear Friend.

I Should be false to true Friendship, if I should neglect or cast off my Friend in Adversity; I hearing that you are under some Misfortune, and, at present somewhat pinch'd with Want, I send you these Lines for your Consolation, [...]efining you to bear up against your ill Luck with as much Presence of Mind as you can; for assure yourself I shall suddenly follow this Epistle in Person, and come, I hope, opportunely enough to your Assistance; 'till which Time, take Courage, and be assured that you shall not be disap­pointed of timely Help, from, dear Friend,

Yours, in Reality, Timothy Timely.
[Page 49]

A Brother to a Sister.

Dear Sister,

THE great Distance and long Absence of me from you (tho' I have not wanted good Company) makes me very solicitous concerning your Welfare. Natural Affection [...]nclines me strongly to have you in Remembrance, tendering [...]our Health and Welfare in every Respect as dear as my own; [...]nd there is nothing at my Command, but, if you request, [...] shall be freely yours. Notwithstanding the Distance, I [...]urpose (God willing) to make you a Visit very shortly, and [...]ad done it before now, but an urgent Occasion interpos'd, [...]he Particulars of which being too long for a Letter, I shall [...]cquaint you of when I see you. Pray give my due Respects [...] all Friends, particularly to honest Mr. S. T. and so in a [...]opeful Expectation of finding you all well at my Arrival, I [...]onclude, and remain,

Dear Sister,
Your affectionate Brother, and humble Servant, James Canter.

A Letter from a Youth at School to his Parents.

Honoured Father and Mother,

I Received your kind Letter of the 4th of. November past, and also the several Things therein mentioned, by the Chichester Carrier, for which I return you my most humble and hearty Thanks, they coming very seasonably to the Re­ [...]ief of my Occasions.—I begin to make pretty good Im­provement in my Learning now (tho' at the first it seem'd a-like irksome, and hard) and I hope to gain the Point at [...]ast, for which you sent me hither. Pray. dear Parents, ac­cept of my most humble Duty to yourselves, and kind Love pray remember to my Brothers, and Sisters, and to my quondam Play-fellows, particularly to Jacky Rattlebrains, and tell him I hope by this Time he begins to be a little serious.—This being all at present from,

Honoured Parents,
Your dutiful Son, and humble Servant, Nathaniel Serious.
[Page 50]

From an Apprentice to his Friends.

Honoured Father and Mother,

BY these I let you know, that by your good Care and Con­duct I am well settled, and am very well pleased with my Station, and could not but in Duty return you my hearty Thanks in a gratef [...]l Acknowledgment of your Love and tender Care of me; I will endeavour to go thro' my Business chearfully; and having begun well, I hope I shall persevere so to do to the End, and that I may be a Comfort to you hereafter, and in some Measure make a Return of your Love and Kindness to me, who am,

Your most dutiful and obedient Son, and Servant, Daniel Diligent.

A Letter of Recommendation.

SIR,

THE Bearer hereof Francis Faithful, I send to you [...] one whose Honesty you may rely on, and my Experience of his Conduct and Fidelity gives me a certain kind of Con­fidence, in recommending him to you; but you know me, Sir, and I believe you cannot in the least think that I would recommend any one to you, that I had the least Umbrage of Suspicion or Doubt concerning their Probity. I am wit [...] due Respect,

Sir,
your real Friend, and humble Servant, George Generous.

A Daughter to a Mother, in relation to Marriage.

Honoured Mother,

WITH all Duty, Humility and Respect, I addres [...] myself to you in these Lines, hoping they will find you in perfect Health both of Body and Mind, for which [...] am never wanting in my Prayer to implore. As I would act nothing that is very material, without your Knowledge, Consent, and Approbation, I thought it my Duty to ac [...]quaint you of a Matter of the greatest Weight and Impor­tance, pardon me, if I blush to name it, viz. that of my Marriage; the Person (as I think) is well deserving of me [Page 51] or one much better; it is Mr. A. B. of C. You know both him and his Character, viz. one sober, diligent, and good humour'd; but however I shall submit to your good Pleasure and Guidance in an Affair of such momentous Concern, and remain,

Honoured Mother,
Your dutiful Daughter, and very humble Servant, Mary Modesty.

To a Country Chapman.

Mr. Francis Fairdealer,

YOU and I have formerly had Trading together, and it is not my Fault that we do not continue so to do; for assure yourself, I have a great Value and Respect for you, [...]nd on that Account none shall be more ready to oblige you [...]n what I may; and pray let us once more re-assume our Dealings together; and you shall find, that for any Goods you have Occasion for in my Way, none shall use you more kindly than,

Sir,
Your real Friend, and humble Servant, Titus Tradewell▪

A Letter of Congratulation.

SIR,

IF you were but sensible how much I am affec [...] with the good and most acceptable News that I [...] your good [...]ortune, you would conclude that the Joy that surprizes [...] [...]or the same, is equal to yours that enjoy so happy a [...] [...] Providence: I could express myself further on this Theme▪ [...]nd enlarge exceedingly on so pleasing a Subject; but let this [...] present suffice, till I have a more favourable Opportunity [...] expressing my Joy to you personally: In the Interim, I [...] truly,

Sir,
Your sincere Friend, and very humble Servant, Ralph Real.
[Page 52]

A Letter of Enquiry of Health.

SIR,

I Not hearing from you in such a Length of Time as from the 11 th of June last to this Time, I am therefore under a great Concern for you, lest some Misfortune of Sickness, or some other Accident hath happened to you, or to some one of your Family; my Uneasiness thereon, oc­casions my giving you the Trouble of these Lines, which I wish may find Things with you better than my Fears suggest; however to put me out of Pain, be pleas'd to let me know the Certainty with what convenient Speed you can; and there­by you'll very much oblige,

Sir,
Your cordial and real Friend, and very humble Servant, Peter Pitiful.

A Letter by Way of Petition to a Friend.

Honoured Sir,

I Am uncertain whether my late Misfortunes have come to your Knowledge; however, I most humbly presume on your good Nature, being assured by sundry Examples of your Compassion, that you will think of, and take Pity o [...] the Distressed; [...]herefore, as an Object truly deserving Com [...]passion. I most humbly implore, and petition you to con­sider the many Losses and Disappointments that I have me [...] with in my unlucky and wayward Fortune, which have re [...]duced me to such necessitous Circumstances, that I cannot possibly proceed in my Affairs: You was pleased once to sti [...]e me your Friend, and so I was indeed; and so I would most certainly be now, and shew it by a signal Proof of Kindness, if our Circumstances were changed, by standing between you and Misfortune, and screening you from the malevolent and inauspicious Influences of cross grain'd Stars. I doubt not, Sir, but your Generosity and Goodness is [...] great; and I hope, with all Humility, you will be pleased to interpose your good Offices, &c. between unlucky Fortune, and,

Sir,
Your very humble Servant, Lawrence Luckless.
[Page 53]

A Letter of Friendship.

Dear Friend,

IT is now a long Time (as I account it) since you and I have had any mutual Converse by Letter, which to me is a great Unhappiness; and really, if Distance did not some­what excuse, I should be apt to tax you with Unkindness; but however, perhaps you may not have the same Conve­niency of Writing at your Place (for want of Postage) as we have at ours, and on that Account, I shall not insist on your Infringement of Friendship; but the chief Purport of these is to enquire of your Welfare, and to have an Answer given to,

Sir,
Your real Friend, and very humble Servant, Kendrick Kindly.

A Letter of Correspondence.

SIR,

YOURS of the 5th ult. is now before me; in answer to which, I positively declare, That Mr. A. B. hath not been with me to present the Bill of Exchange that you men­tion in your Letter of Advice to me, and therefore there can be no just Cause of Protest, or any other Charge, put on,

Sir,
Your humble Servant, John Innocent.

It is as proper to know how to Subscribe; [...]nd how to Di­rect, as it is how to write a Letter.

SUBSCRIPTIONS.

To his most Excellent Majesty, or, to his most Sacred Ma­jesty, &c. To the Queen's most Excellent Majesty, &c. To the Prince, To his Roya [...] Highness, &c. To the Princess, To her Royal Highness, &c.

To Spiritual Lords, To his Grace the Lord Archbishop of Canterbury; or, To the most Reverend Father in God, &c.

To other Bishops, To the Right Reverend Father in God, &c.

To the Inferior Clergy, To the Reverend Mr. A &c. or To the Reverend Doctor, &c.

To Temporal Lords, To his Grace the Duke of, &c. To the Right Honourable the Marquis of Hallifax. To the Right Honourable the Ear [...] [Page 54] of Sussex. To the Right Honourable the Lord Viscount A [...]burnham.

The Sons of Nobility.

Must be dignified (tho' not immediate Heirs) with [...] Title of Honourable, as being their Due by Birth.

To a Baronet, Honourable, by virtue of his Patent, [...] Right Worshipful; and also to a Knight, Right Worshipfu [...] To an Esquire, Worshipful.—Every Privy Counsellor, th [...] not a Nobleman, hath the Title of Right Honourable. [...] Embassadors have the Stile of Excellency; as hath also [...] Lord Lieutenant of Ireland, and the Captain General [...] his Majesty's Forces. The Lord Mayor of Lond [...]n, duri [...] his Mayoralty, hath the Title of Right Honourable. [...] the Sheriffs, during that Office, have the Title of Rig [...] Worshipful. All Mayors of Corporations have the Title [...] Esquires, during their Office.

For the Beginning of Letters.

To the King; Sir, or may it please your Majesty.

To the Queen; Madam, or May it please your Majesty.

To the Prince; Sir, or May it please your Royal Highne [...]

To the Princess; Madam, or May it please your Royal Highnes [...]

To a Duke; My Lord, or May it please your Grace.

To a Dutchess; Madam, or May it please your Grace.

To a Marquiss; My Lord, or May it please your Lordshi [...]

To a Marchioness; Madam, or may it please your Ladyshi [...]

To an Earl, Viscount, or Baron; Right Honourable, [...] May it please your Lordship.

To their Consorts; Madam, or May it please your Ladyshi [...]

To a Knight; Sir, or Right Worshipful,

To his Lady; Madam, or May it please your Ladyship.

To a Mayor, Justice of the Peace, Esquires, &c. Sir, [...] May it please your Worship.

At Subscribing your Name, conclude with the same Tit [...] you began with; as My Lord, your Lordship, &c.

Of Secret Writing.

HHRE it may not be improper to say something [...] Secret Writing; to which Bishop Wilkins, in his Boo [...] of Mathematical Magick, speaks largely; but it is princ [...]pally concerning Writing in Cypher, which requires gre [...] Pains, and an uncommon Share of Ingenuity, both in Write [...] [Page 55] and Readers. But however I shall shew two or three par­ticular Ways, that are very pretty and amusing, and also very easy, both as to Cost and Pains. And

First, If you dip your Pen in the Juice of a Lemon, or of an Onion, or in your own Urine, or in Spirits of Vitriol, and write on clean Paper whatever you intend, it shall not be discerned till you hold it to the Fire, and then it will ap­pear legible. And if with any of the aforementioned, you write on your Skin, as on your Arm, the Back of your Hand, &c. it shall not be seen till you burn a Piece of Pa­per, and with the Ashes rub on the Place, and then it will appear very plain. And this I have experienced and try'd, and therefore can say, Probatum est.

Another Way is, When you write a Letter that you in­tend shall not be discovered, but to those you think fit; is first to write your Thoughts on one Side of your Letter with black Ink, as usual (but it ought to be on thin Paper) and then on the contrary Side, go over the said Matter that you would have secret, with a clean Pen dipp'd in Milk; and that Writing shall not be read without holding it to the Fire, as mentioned above, and then it will appear legible, in a bluish Colour.

A third Method, is to have two Pieces of Paper of equal Size, and the uppermost cut in chequered Holes or Squares, big enough to contain any Word of six or seven Syllables, and in these Squares write your Mind in regular Sense; and then take off the said chequered Paper, and fill up the Va­cancies with Words of any Kind, which will render it per­fect Nonsense, and not capable of being read, to any Pur­pose of Intelligence. And transmit and send the said upper­most, or chequered Paper, or another exactly of the same Form, to your Correspondent; whereby he shall, by laying it nicely on your said Letter, read your intended Sense, without being perplexed with the Words of Amusement in­termixed, which makes it altogether unintelligible.

Or again, you may write to your Friend in proper Sense, with common Ink, and let the Lines be at so commodious a Distance, that what you intend to be secret, may be written between them with Water, wherein Galls have been steeped a little Time (but not long enough to tincture the Water) and when dry, nothing of the Writing between the said Lines ca [...] be seen; but when it is to be read, you must, with a fine Hair Pencil, dipp'd in Copper as Water, go between the [Page 56] said Lines, and so you make it legible. Note, This Way will give no Ground for Suspicion, because the Letter seemeth to carry a necessary Sense in those Lines that are set at such a proper Distance, &c.

Of ARITHMETICK.

AFTER Writing, the next necessary Step towards qualifying a Person for Business, is the Understanding that truly laudable and most excellent Accomplishment, the noble Science of Arithmetick; a Knowledge so necessary in all the Parts of Life and Business, that scarce any Thing is done without it.

In my Directions for its Attainment, I shall proceed with such Plainness of Method, and Familarity of Stile, as shall render it easy to be understood, and conspicuous to the meanest Capacity.

And first of Notation and Numeration.

In Notation, we must note or observe that all Numbers are expressed by, or composed of, these ten Figures or Charac­ters following, viz.

One, Two, Three, Four, Five, Six, Seven, Eight, Nine, Cypher.

1 2 3 4 5 6 7 8 9 0

Nine of these are called significant Figures, to distinguish them from the Cypher, which of itself signifies nothing; but as it is placed (in whole Numbers) serves to encrease the Va­lue of the next Figure or Figures that stand before it; as 3 is but Three; but before the Cypher thus 30, the 3 becomes Thirty, &c. But in Decimal Fractions, the (0) decreases the Value of the Figure behind it; for therein, 3 is three Tenths of any Thing; but by placing 0 before it, thus, 03, it is decreased from 3 tenth Parts, to three hundredth Parts of any Thing, &c.—We are to note, That every one, or any, of the abovementioned nine Figures, or Digits, have two Values; one certain, and another uncertain; the cer­tain Value is, when it stands alone by itself; the uncertain is, when joined or placed with o [...]her Figures or Cyphers; for when any one of these Figures stands alone, they signify no more than their own simple Value; as 5 is but Five, 4 but Four, 6 but Six, and 3 no more than Three, &c. And this is the certain Value of a Figure: But when another Fi­gure or Cypher is annexed, they then are encreased in their [Page 57] Value ten Times; as 5, or 5 Units, or Ones, to 5 Tens or Fifty, 4 to 4 Tens or Forty, 6 to 6 Tens or Sixty, and 3 to [...] Tens or Thirty; as thus, 51, Fifty-one; 42, Forty-two; 63, Sixty-three; [...]4, Thirty-four, &c. Again, if any of [...]he said Figures stand in the third Place towards the Left-hand, they signify so many Hundreds as they expressed Units or Ones; as 500 is Five Hundreds, 400 Four Hun­ [...]reds, 600 Six Hundreds, and 300 Three Hundreds, &c. If any of them possess the 4th Place towards the Left-hand, [...]hey are so many Thousands as they contain Units. And so, [...]ny, or every Figure, encreases by a Ten-fold Proportion, [...]rom the Right-hand to the Left, according to the Place it [...] found or stands in; so that 5 may be but Five, or Fifty; Five Hundred, or Five Thousand. In the first Place, 5; in [...]he second 50; in the third 500; in the fourth Place 5000, &c. And therefore, this is the uncertain Value of a Figure. But the true Value of Figures in Conjunction, may be fully [...]earnt and understood by the following Table.

The Numeration Table.
C Thous. of Mil. X Thous. of Mil. Thous. of Mil. C. of Millions. Ten of Millions. Millions. C of Thous. Tens of Thous. Thousands. Hundreds. Tens. Units
12 11 10 9 8 7 6 5 4 3 2 1
1 2 3 4 5 6 7 8 9 0 1 2
  1 2 3 4 5 6 7 8 9 0 1
    1 2 3 4 5 6 7 8 9 0
      1 2 3 4 5 6 7 8 9
        1 2 3 4 5 6 7 8
          1 2 3 4 5 6 7
            1 2 3 4 5 6
              1 2 3 4 5
                1 2 3 4
                  1 2 3
                    1 2
                      1
Hund. Thous. of Mil. Hundreds of Mil. Hundreds of Thous. Units or Ones
123 456 789 012
12 345 678 901
1 234 567 890
  123 456 789
  12 345 678
  1 234 567
    123 456
    12 345
    1 234
      123
      12
      1

For the easier Reading of any Number, first get the Words at the Head of the Table by Heart; as Units, Tens, Hun­dreds, [Page 58] Thousands, &c. and apply'd thus, 75, five Units, five, and 7 Tens, Seventy, that is, Seventy-five. Again, 678; 8 Units, Eight; 7 Tens, Seventy; and 6 Hundreds, six hundred; that is, Six hundred seventy eight. Once more, 3456; 6 Units, six; five Tens, fifty; 4 Hundreds, four Hundred; 3 Thousands, three Thousand; together, Three thousand four hundred fifty-six. Read the 4th Line of the Table downwards, viz. 123456789; here the Valuation of the Figures is from the Right-hand to the Left, as 1 in the ninth Place is Hundreds of Millions; but to be read from the Left-hand to the Right; thus, One hundred twenty three Millions, four hundred and fifty-six thousand, seven hundred eighty-nine. But any Number may yet be read more intelligibly, viz. by Stops, thus: Make a Comm [...] after every third Figure or Cypher, beginning at the Right-hand, and so on towards the Left, making a Stop after every third Figure or Cypher, as abovesaid; thereby dis­tinguishing every third Place into Hundreds, as Hundreds of Units, Hundreds of Thousands, Hundreds of Millions and hundred Thousands of Millions, &c. And for Trial let's read the first Line of the Table; the last Place in Va [...]luation is Hundred Thousands of Millions, and to be pointe [...] into Periods thus, 123, 456, 789, 012; and read thus, On [...] hundred twenty three thousand, four hundred fifty-six Mil­lions, seven hundred eighty nine thousand, and twelve; tha [...] is, no hundreds but twelve. Again, [...]ead the following Number, viz. 276, 245, 678, 921, 460; here the first Poin [...] or Period is between 4 and 1, and the last between 2 an [...] 6, and to be read thus; 276 Millions of Millions, 245 Thousands of Millions, 678 Millions, 921 Thousands, 460 Units, or Ones. And thus may any Number be read with [...]ase, though a large one: And thus are large Numbers o [...] Sums expressed, or set out in the Exchequer, Bank, Lottery Tickets, &c. as thus, N o. 224, 156—19, 478,—and 420,000▪ &c. The foregoing Table of Numeration is on the Right-hand distanced out into Periods, for the easier Reading thereof,

[Page 59]Numbers to be read or written, viz.

  • [...]6, Ninety-six.
  • [...]42, Two hundred forty-two.
  • [...]924, Seven thousand 9 hundred 24.
  • [...]4006, Fifty-four thousand and six.
  • [...]24707, Five hundred 24 thousand 707.
  • [...]706240, Four millions 706 thousand 240.
  • [...]2700472, Sixty-two millions 700 thousand 472.
  • [...]74960204, Four hundred 74 millions 960 thousand 204.
  • [...]214007042, Four thousand 214 millions 7 thousand 42.
  • [...]4214800240, Forty-four thousand 214 millions 8 hundred thousand 240.

Of Numerical-Letters.

Sometimes Numbers are expressed by Le [...]rs; and it is [...]ecessary to understand them, for the readier Reading the [...]ates of Years, frequently used at the Foot of Title Page [...] [...] Books, and on Funeral Monuments, and in Roman Hi­ [...]ory, &c.

  • [...] signifies One.
  • V Five.
  • X Ten.
  • L Fifty.
  • C An hundred.
  • CC Two hundred.
  • D or D Five hundred.
  • M or M A Thousand.
  • Five Thousand.
  • Ten Thousand.
  • Fifty Thousand.
  • A Hundred Thousand.
  • (roman 500000) Five hundred Thou­sand.
  • (roman 1000000) Ten Hun­dred Thousand, or a Mil­lion.
  • M.DCCLIII. expresses this present Date of 1753, M. being One Thousand, D Five Hundred, CC Two Hun­dred, and LIII Fifty-three; together One Thousand Seven Hundred and Fifty-three.

ADDITION.

IS the putting together two or more Numbers or Sums, [...] as their total Value may be discovered or known▪

Herein we must always observe to set the Numbers to be added, orderly one under the other; that is, Units under Units, Tens under Tens, Hundreds under Hundreds, &c. as in the subsequent Examples.

[Page 60]

Addition of Numbers of one Denomination.
Yards. Gallons. Pounds.
T. U. H. T. U. x of Th. Th. H. T. U
24 756 5796
42 432 3974
68 578 6722
86 696 7967
24 422 24 [...]
42 678 3 [...]
286 3562 2474

In Addition of simple Numbers, whether it [...] Gallons, Pounds, or any Thing else, remember to [...] every 10 that you find in the first Row of Rank of [...] being Units, to the next Row of Tens; and the [...] the Rank of Tens to the Row of Hundreds, &c. [...] ever it makes in the last, you must set it down, [...] what it will.

The Numbers above are set down in order, as [...]; that is, Units under Units, Tens under [...] as may be plainly understood, by being indicated [...] Head of each Row, or Rank with Units, Tens, [...] &c. Then in [...]asting up each Example, to know its [...] I begin at the Right-hand, or Unit's Rank, of the [...] ample, and say, 2 and 4 is 6, and 6 is 12, and [...] and 2 is 22, and 4 is 26; in which Row there [...] Tens and 6 over; wherefore I set down 6 just unde [...] [...] Rank, and carry 2 to the next or last Row, and say [...] I carry and 4 makes 6, and 2 is 8, and 8 is 16, [...] 22, and 4 is 26, and 2 is 28; and it being the [...] set down the Amount, viz. 28; so that the Total [...] of Yards is found to be (by this Method) at the [...] 286. And the next or second Example, is found [...] same Method to be 3562 Gallons. And in the [...] last Example, the Total Number of Pounds is found [...] same Way to be 247484. And so the Total of [...] Example of the same kind, viz. simple Numbers [...] Denomination, may be found. Note, That when [...] the Ranks amount to just 10, 20, 30, 40, 50, &c [...] you must set down the 0, under its proper Rank, and [...] [Page 61] either 1, 2, 3, 4, or 5, according to the Number of Tens that you find, to the next Row; and so you will always do, when it so happens, whether in the first, second, or third Row; or in any other, except the last, where what it a­mounts to must be set down, without any Reserve or Car­riage in the Mind, because there is no other Row or Rank to carry to, as was hinted before.

And so much for Addition of Numbers of one Denomination, which never varies from what has been said above; serving strictly to keep to the critical, and nicely setting down in perpendicular Order your several Numbers, that Units may prec [...]sely and directly stand under Units, Tens under Tens, &c. as hath fully been declared before The next in Order of Course, is Addition of Numbers of several Denominations, or Addition of Money.

As we in England, or Great-Britain, keep our Accounts in Pounds, Shillings, and Pence, and Parts of a Penny; so you are [...]o note, that

  • 4 Farthings make 1 Penny,
  • 12 Pence 1 Shilling, and
  • 20 Shillings 1 Pound.

And here also you are strictly to observe, and with the same Punctuality to mind, that Pounds be set directly under Pounds, Shillings under Shillings, Pence under Pence, and Farthings under Farthings; as in the Examples hereafter following.

But before you proceed, it will be necessary to have the following Tables by Heart, for the readier Knowledge how many Shillings there are in so many Pence, and apprehend­ing how many Pounds are contained in so many Shillings, &c.

Pence. s. d.
20 is 1 8.
30 — 2 6
40 — 3 4
50 — 4 2
60 — 5 0
70 — 5 10
80 — 6 8
90 — 7 6
100 — 8 4
110 — 9 2
120 — 10 0
s. l. s.
30 is 1 10.
40 — 2 0
50 — 2 10
60 — 3 0
70 — 3 10
80 — 4 0
90 — 4 10
100 — 5 0
110 — 5 10
120 — 6 0

[Page 62]The Use of these Tables is this; when ever you are cast­ing up any Example, or Sum of Money, you begin at the Right-hand (as before in Sums of one Denomination) the Place of Pence, and suppose the Rank, Row, or Denomi­nation of Pence amounts, from the Bottom to the Top, to 56; then your Table of Pence tells you that 50 d. is 4 s. and 2 d. 6 over is 4 s. 8 d. If to 92 d. the Table tells you that 90 d. is 7 s. 6. and 2 d. over is 7 s. 8 d. And if to 81 d. the Table shews that 80 d. is 6 s. 8 d. and 1 d. more makes 6 s. 9 d. &c.

The Shillings Table serves to lead you to a quick Recol­lection how many Pounds there are in so many Shillings; as admit the Rank of Shillings arises to 57 s. the Table says that 50 s. is 2 l. 10 s. and 7 s. over makes 2 l. 17 s. If to 84 s. the Table declares that 80 s. is just 4 l. and 4 s. over makes 4 l. 4 s. If to 112 s. the Table tells you that 100 s. is 5 l. and 12 s. more makes 5 l. 12 s. &c.

Addition of Money.

Money Owing, and Money Received, as follows.

(1)
    l. s. d.
Ow. to Mr. Andrews 4 12 6
M. Bent 7 06 9
Mr. Crawley 4 12 0
Mr. Dupper 6 17 7
Mr. Edlin 5 06 6
Mr. Franklin 4 12 3
Mr. Gregory 6 00 0
Mr. Fisher 5 15 4
    45 02 11
(2)
    l. s. d.
Rec. for Tobacco 46 10 9
Sugar 79 16 0
Indigo 42 18 3
Broad Cloth 66 12 4
Canary 90 16 0
Port-Wine 84 07 6
Rice 24 12 0
Logwood 60 10 0
    496 02 10

Note, That l. stands for Pounds, s. for Shillings, d. for Pence, and qr. for Farthings; in regard that Libra signifies a Pound, Solidus a Shilling, Denarius a Penny, and Qua­drans a Farthing.

I begin with the first Example of Money Owing, and say 4 and 3 is 7, and 6 is 13, and 7 is 20, and 9 is 29, and 6 makes 35 Pence; now 30 Pence, according to the Table, is 2 s. and 6 d. and 5 d. makes 2 s. and 11 d. I set down 11 exactly under the Rank of Pence, and say— 2 Shillings that I carry (which I do to the Rank of Shillings) and 5 is 7, [Page 63] [...]nd 2 is 9, (for I only take the Units Rank of Shillings) and [...] is 15, and 7 makes 22, and 2 is 24, and 6 is 30, and 2 makes 32; and now being come to the Top of the Sum, and [...] making 32, I come down with the Tens of Shillings, [...]aying 32 and 10 is 42, and 10 is 52, and 10 is 62, and [...]0 is 72, and 10 makes 82 Shillings; and the Table telling [...] that 80 Shillings is 4 Pounds, I know therefore 82 s. [...] 4 l. 2 s. wherefore I set down the odd 2 s. just under the Row of Shillings, and carry 4 Pounds to the Pounds; saying, [...] that I carry and 5 is 9, and 6 is 15, and 4 is 19, and 5 [...]s 24, and 6 is 30, and 4 is 34, and 7 is 41, and 4 makes [...]5 Pounds; so that the Total of those several Sums of Money, due to those seve [...]al Persons, amounts to 45 l. 2 s. 11 d. as in the Example.

In the second Example of Money received, I begin at the Right-hand (as in all Additions, Subtractions, and Multipli­cations, we do, and ought so to do, working from the Right-hand to the Left; but in Division you begin the Operation at the Left, and work towards the Right) and say, 6 and 4 is 10, and 3 is 13, and 9 makes 22; and 22 Pence being 1 s and 10 d. I set down 10 d. and carry 1 s. to the Shillings▪ [...]aying 1 that I carry, and 2 is 3, and 7 is 10, and 6 is 16, and 2 is 18, and 8 is 26, and 6 makes 32; then I come down with the Tens, saying, 32 and 10 makes 42, &c and find at the Bottom it comes to 102 Shillings; which making 5 l. 2 s. I set down 2 s. and carry 5 l. to the Pounds; saying, 5 that I carry, and 4 is 9, &c. I find that at the Top it amounts to 36, wherefore I set down 6 exactly under its own Rank, viz. the Rank of Units of Pounds, and carry 3 for the 3 Tens that are in 30; for at all Times in the first Deno­mination of Addition, whether of Money, Weight, or Mea­sure, that is in the Denomination of Pounds, Tuns, or Yards, you must cast them up as Sums of one Denomination; that is, for every Ten carry One to the next, &c. saying, 3 that I carry and 6 is 9, and 2 is 11, and 8 is 19, &c. and find that at the Top it comes to 49; wherefore I set down 49 before the 6, and the total Amount of the Money received for those particular Goods or Wares sold, is 496 l. 2 s. 10 d.

[Page 64]

More Examples for Practice.

    l. s. d. 10 20 12 4
Money due from Mr. Money 17 12 6 ¼ l. 146 12 3 ½
Mr. Gaunt 26 10 2 278 10 9
Mr. Hern 50 00 0 46 16 6
Mr. James 44 12 8 ½ 100 00 0
Mr. King 60 14 0 72 12 4
Mr. Smith 29 16 6 ¾ 69 16 6 ¾
Mr. Monk 16 10 0 460 12 6
Mr. Napper 20 00 0 49 10 0
Mr. Oliver 27 11 4 ½ 7 12 4 ½
Mr. Perkins 17 04 0 22 10 0
Mr. Quinton 20 10 3 164 12 9
Mr. Roper 46 16 8 75 10 6
  Total 377 18 3 1494 16 6 ¾—1

Over the middle Example there are Numbers set, to [...] note what you must stop at, if you cannot cast it up without

Addition of Avoirdupois Weight.

By this Weight are weighed all Kinds of Grocery Good or Wares, or Goods subject to waste; as Tobacco, Su [...]ar Fruit and Drugs, as also Butter, Cheese, All [...]m, Tallo [...] ▪ Flesh, Iron, Brass, Copper, Lead, Tin, or Pewter, Pit [...] ▪ Tar, Rosi [...], Hemp, Flax, Soap, Salt, and all Kind of Go [...]bled Goods; that is, those Goods that have Dust, Dross, Waste.

A Table of this Weight is as follows, viz.
  • 4 Quarters make 1 Dram Marked, dr. Drams
  • 16 Drams make 1 Ounce Marked, oz. Ounces
  • 16 Ounces make 1 Pound Marked, lb. Pounds
  • 28 Pound make 1 qr. of a hundred Weight, or 112 lb. Marked, qrs. Quarters
  • 4 Quarters make 1 Hundred Wt. Marked, C. Hundreds.
  • 20 Hundred Wt. make 1 Tun Marked, T. Tuns

[Page 65]

  Small Weight
[...] 4 28     28     28 10 16 16
[...] qrs. lb. C. qrs. lb. C. qrs. lb. lb. oz. dr.
[...] 1 16 24 1 12 9 1 16 24 11 12
[...] 2 24 42 2 00 4 3 26 42 14 15
[...] 3 06 16 1 12 7 1 00 64 10 11
[...] 0 12 25 3 24 5 3 27 29 09 10
[...] 1 20 19 0 20 4 3 00 16 12 13
[...] 2 00 26 1 22 2 2 02 27 13 14
[...]9 3 22 154 3 06 34 3 15 206 09 11

In the first of these Examples I begin at the Right-hand, [...] wit, at the Denomination of Pounds, and stop at every [...]8, so many Pounds making a Quarter; that is, at every 28 [...] make a Speck on my Nail (not in the Sum, for [...]hat Way [...] not proper or handsome) and I find two 28 [...]s, and 22 lb. [...]ver; wherefore I set down 22, and carry 2 qrs. to the Quarters, and adding them up find them 11, which is 2 Hun­ [...]red and 3 qrs. over; wherefore I set down 3, and carry 2 [...] the Hundreds; which also added up, make 39; so that [...] Total Weight is 39 C. 3 qrs. and 22 lb. &c▪

And for the Example of Small Weigh [...], there I stop at 16 [...]nd 16, and at 10 in the Pounds, and fi [...]d the Total 206 lb. [...] oz. and 11 Drams. There's no Occasion for stopping, but [...]nly at 28 in the Great Weight, and at 16 and 16 in the [...]mall.

Note, That in weighing at the Water-side, or else­where, they do not weigh by the Ton in Great Weight, [...]ough some Goods are sold by it, as Iron, Logwood, Cheese, &c. but by Hundreds, Quarters, and Pounds, and afterwards [...]omputed by Tuns, &c.

Addition of Troy Weight.

By this Weight are weighed Jewels, Gold, Silver, Pearl, [...], and Liquors; a Pint of Water, Wine, &c [...] a Pound, and the usual Denominations are Pounds, [...], Penny-weights, and Grains, as in the following Table, [...].

Not [...], That

  • 24 Grains make 1 Penny-weight,
  • 20 Penny-weights 1 Ounce, and
  • 12 Ounces 1 Pound Troy.

[Page 66] Note also, That 25 lb. is a Quarter of a Hundred by thi [...] Weight, 100 lb. is one hundred Weight, and 20 hundred one Tun of Gold or Silver.

Examples of Troy Weight.

6 Ingots of Silv. wt. viz. 10 12 20 [...]4 10 20 24
N [...]. l. oz. pw. gr. lb. oz. pw. gr. oz. pw. gr.
1 Wt. 4 05 12 10 14 06 10 11 204 10 14
2 5 04 16 17 24 10 11 12 96 07 17
3 3 11 19 20 21 06 07 17 100 11 12
4 4 06 07 12 21 10 12 14 56 16 20
5 5 01 11 12 16 11 12 13 212 10 2 [...]
6 4 11 12 13 21 07 06 17 96 19 1 [...]
  28 06 00 12 121 05 01 12 767 17 0 [...]

In the Denomination of Grains I stop at 24, and find i [...] to amount to 3 Penny-weights and 12 Grains over; where [...]fore I set down 12 Grains and carry three Penny-weights [...] the Penny-weights; then I say, 3 that I carried and 2 is [...] and 1 is 6, and 7 is 13, and 9 is 22, and 6 is 28, and 2 [...] 30; and then coming down with the Tens, I say, 30 and [...] is 40, and 10 is 50; &c. just as I do in Addition of [...] (for as there 20 s. make a Pound, so here 20 Penny-weigh [...] make an Ounce) and find it to come just to 80; now in [...] there are just 4 Twenties, or 4 Ounces; wherefore I [...] down 00, and carry 4 to the Ounces, and find them to [...] mount to 42; which makes 3 Pounds and 6 Ounces ove [...] wherefore I set down 6, and carry 3 to the Pounds; sayin [...] 3 I carry and 4 is 7, and 5 is 12, &c. and find they [...] to 28; so the Total is 28 l. 06 oz. 00 pw. 12 gr. and so [...] the rest.

How to prove Addition.

IN all Additions, whether of simple Numbers, that [...] Numbers of one Denomination; or in Examples co [...]pound, that is, of diverse Denominations, as Pounds, Sh [...]lings, Pence and Farthings; or Tuns, Hundreds, Quarter [...] and Pounds, Great Weight; or Pounds, Ounces, and [...] Small Weight; Pounds, Ounces, Penny-weights and Grai [...] Troy-Weight; I say, in any of the Examples above-me [...]tioned, the truest and best Method of Proof is to [...] the same downwards (beginning at the Top) as you did [...] same upwards▪ beginning at the Bottom) and if it [...] [Page 67] the same Total, the Work is infallibly right, and beyond any Contradiction; and is much better and more sensible than the common Method used in Schools, of making two Totals, by omitting the upper Line in the Second, which is altogether impracticable in real Business. I might here also give the several Examples of other Additions, such as Apothe­caries Weight, Cloth, Liquid, Dry, and Long Measures, Time, &c. but the Method serves for any of them, having respect to the several Tables of Quantity belonging to those several Denominations of Addition above mentioned, which are as follows, viz.

A Table of the Parts of Apothecaries Weight.

 
Marks.
20 Grains 1 Scruple
℈ a Scruple
3 Scruples 1 Dram.
ʒ a Dram.
8 Drams 1 Ounce.
℥ an Ounce.
12 Ounces 1 Pound.
lb a Pound.

By these Weights they compound their Medicines; but they buy and sell their Drugs by Avoirdupois Weight.

Cloth Measure.
  • 4 Nails, or 9 Inches, 1 qr. of a Yard.
  • 4 qrs. or 36 Inches, 1 Yard.
  • 5 qrs. or 45 Inches, 1 Ell English.
  • 3 qrs. or 27 Inches, 1 Ell Flemish.
  • 6 qrs. or 54 Inches, 1 French Ell.

A Table of Wool-Weight.

Note, That 7 lb. makes 1 Clove; 2 Cloves, or 14 lb. 1 [...]tone; 2 Stones or 28 lb. 1 Tod; 6 Tod and a Half 1 Wey, or 82 lb. 2 Weys, or 364 lb. 1 Sack; and 12 Sacks 1 Last, or 3 [...]8 lb. 240 lb. 1 Pack of Wool.

Note, That 1 lb. 2 oz. 12 pw. Troy, is equal to a Pound [...]voirdupois. And a Pound Troy is about 13 oz. 2 Drams [...]nd a Half Avoirdupois.

    l. s. d.
Pound of Weight Troy of Silver is worth 3 02 2
Pound Wt. Avoirdupois 3 15 3 1/ [...]
£100 in Gold weighs 1 11 3/ [...] Avoirdup. Wt.
in Silver 26 04

A Pound Avoirdupois is heavier than a Pound Troy: But [...] Ounce Troy is heavier than an Ounce Avoirdupois.

[Page 68]

A Table of Liquid Measure.

Liquid Measure is of two Sorts, viz. one for [...] Brandy, &c. and the other for Beer and Ale.

Wine, &c.
  • 8 Pints 1 Gallon,
  • 42 Gallons 1 Tierce,
  • 63 Gallons 1 Hogshead,
  • 84 Gallons 1 Puncheon,
  • 2 Hogsheads 1 Pipe or But [...]
  • 2 Pipes or Butts 1 Tun, 252 Gallons.

Note, That sweet Oyl hath 236 Gallons to the Tun: [...] Oyl from Greenland hath 252 Gallons to the Tun.

Note, The Wine Gallon contains 231 Cubic or solid Inch [...] by which all Liquids are measured, except Beer and Ale.

Beer Measure.
  • 8 Pints 1 Gallon,
  • 9 Gallons 1 Firkin,
  • 2 Firkins 1 Kilderkin.
  • 2 Kilderkins 1 Barrel, or [...] Gallons,
  • 1 Barrel and Half, or 54 G [...]lons, 1 Hogshead.
Ale Measure.
  • 8 Pints 1 Gallon,
  • 8 Gallons 1 Firkin of Ale, Soap, or Herrings,
  • 2 Firkins 1 Kilderkin,
  • 2 Kilderkins 1 Barrel, or [...] Gallons,
  • 1 Barrel and Half, or 48 G [...]lons, 1 Hogshead.

Note, The Beer and Ale Gallon are the same, viz. 2 solid Inches; but with this Difference, i. e. the Barrel [...] Beer contains 1228 Cubic Inches, or 4 Gallons more [...] the Barrel of Ale.

In a Tun of Wine are
  • 2 Pipes or Butts,
  • 6 Tierces,
  • 252 Gallons,
  • 504 Pottles,
  • 1008 Quarts,
  • 2016 Pints.
In a Pipe or Butt are
  • 2 Hogsheads,
  • 3 Tierces,
  • 126 Gallons,
  • 252 Pottles,
  • 504 Quarts,
  • 1008 Pints.
In a Puncheon are
  • 84 Gallons,
  • 168 Pottles,
  • 336 Quarts,
  • 672 Pints.
In a Hogshead are
  • 63 Gallons▪
  • 126 Pottles,
  • 252 Quarts,
  • 504 Pints.
In a Barrel of Beer
  • 2 Kilderkins,
  • 4 Firkins,
  • 36 Gallons.
  • [Page 69]72 Pottles,
  • 144 Quarts,
  • [...]88 Pints
In a Barrel of Ale are
  • [...] Kilderkins,
  • 4 Firkins,
  • 32 Gallons,
  • 64 Pottles,
  • 128 Quarts,
  • 256 Pints,
Dry Measure.
  • [...] Pints 1 Quart,
  • [...] Quarts 1 Pottle,
  • [...] Pottles 1 Gallon,
  • [...] Gallons 1 Peck,
  • [...] Pecks 1 Bushel Land Mea­sure,
  • [...] Pecks 1 Bushel Water Mea­sure,
  • [...] Bushels 1 Comb, or half Quarter,
  • [...] Combs 1 Quarter,
  • [...] Quarters 1 Chaldron,
  • [...] Quarters 1 Wey,
  • [...] Weys 1 Last, or 10 Quarters, Fatts or Vatts, or 56 Bu­shels, of Sea Coal, 1 Chal­dron; and 21 Chaldron is accounted a Score in the River of Thames; Salt and Sea Coal are [...]eaped, or else there are 5 Pecks to the Bushel.
In the Last are
  • 2 Weys
  • 10 Quarters,
  • 80 Bushels,
  • 320 Pecks,
  • 1280 Pottles,
  • 2560 Quarts,
  • 5120 Pints.
In a Wey are
  • 5 Quarters,
  • 40 Bushels,
  • 160 Pecks,
  • 320 Gallons,
  • 640 Pottles,
  • 1280 Quarts,
  • 2560 Pints.

Note, By an Act Anno 1712, the Bushel is 2178 Cubic [...]nches; and a Gallon of this Measure is 272▪ Cubic Inches.

Long Measure.
  • 3 Barley Corns 1 Inch,
  • 2 Inches 1 Foot,
  • 3 Feet 1 Yard,
  • 3 Feet 9 Inches 1 Ell-Engl.
  • 5 Feet a Geometrical Pace,
  • 5 Yards and Half, 1 Pole, Perch, or Rod,
  • 6 Feet 1 Fathom, or 2 Yards,
  • 40 Poles, or 220 Yards, 1 Furlong,
  • 8 Furlongs 1 Mile, or 1760 Yards,
  • 3 Miles 1 League,
  • 20 Leagues, or 60 Miles, 1 Degree; and 360 Degrees the supposed Circumfer­ence of the Earth and Sea.
In a Mile are
  • 8 Furlongs,
  • 320 Poles,
  • 760 Yards,
  • 5280 Feet,
  • 63360 Inches,
  • 190080 Barley Corns.
Land Measure.
  • [Page 70]5 Yards and Half, 1 Pole, Perch or Rod.
  • 40 Poles make 1 Rod, or quarter of an Acre.
  • 160 Poles in Length, and 1 in Breadth, is 1 Acre.
  • 80 Poles in Length, and 2 in Breadth, 1 Acre; and
  • 40 Poles in Length, and 4 in Breadth, 1 Acre.
  • 4 Poles in Length make 1 Chain.
  • 10 Chains in Length, and 1 in Breadth, make 1 Acre.
Time.
  • 60 Seconds 1 Minute,
  • 60 Minutes 1 Hour,
  • 24 Hours 1 Day natural,
  • 7 Days 1 Week,
  • 4 Weeks 1 Month,
  • 13 Months, 1 Day, and 6 Hours, 1 Solar Year.
In a Year are
  • 31557 [...]0 Seconds,
  • 525 [...]60 Minutes,
  • 8 [...]66 Hours,
  • 365 Days 6 [...]

Note, The Year is also divided into 12 Calendar Month, which contain 365 Days, according to this good old Verse, viz.

Thirty Days hath September, April, June, and November▪

February hath 28 alone, and all the rest Thirty and one.

SUBTRACTION.

THE next Rule in Arithmetick is Subtraction (or com­monly called [...]ubtraction) and this Rule teaches to take a lesser Number, or Sum, out of a greater, and shew­eth the Remainder, Rest, Excess, or Difference.

Note always to place the lesser Number under the greate [...] (with the same Care and Order as in Addition) so the Unit [...] may stand under Units, Tens under Tens, &c. and the Re­mainder under the Line is the Difference sought: And such Difference being added again to the lesser Number, shall make the greater Number, and is a certain Proof of the said Rule.

A general Rule.

Whatever you used to stop at in Addition (whether of one Denomination or of several) the same you must borrow in Subtraction, when need requires: Remembering to pay, or carry 1 to the next Place towards the Left-hand. Example ▪ Suppose Mr. Andrews owes to Mr. Baker [...] whereof Mr. A. hath paid to Mr. B. the Sum of in part; what remains due to Mr. Baker?

[Page 71]Here the lesser Number 146, stands under the greater 323; and to find the Remainder or Sum resting due, I say, 6 from 3 I cannot; but 6 from 13 (for yo [...] must always borrow 10 of the next Figure in the same under Line, and put it to the Figure or Cypher that stands directly over the Figure you substract) and there remains 7; then 1 that I borrow and 4 is 5, for as I borrowed 10 (or 1) out of 4, so I must pay the said 1 or 10 (for so it really is, because of the De [...]ple Pro­portion of Increase from the Right-hand to the Left) to the said Figure 4 again, as above hinted: I say, 5 from 2 I cannot; but 5 from 12 (borrowing 10, and putting it to the over Figure 2, as above directed) and there remains 7; then 1 that I borrowed and 1 is 2, from 3 the over Figure, and there rests 1, and so the Example is done; and by it is shewn that A. still owes B. 177 Pounds as appears in the Work; and for Proof of its Verity, add 177 the Remainder, to 146 the lesser of the two given Numbers, and it will make 323, being the same with the greater Number, or Sum of Money first due; and therefore, a sure Proof of the Truth and Cer­tainty of the Rule. And as Subtraction is proved by Addi­tion, so may Addition be proved by Subtraction; for if the two aforesaid Numbers, viz. 323 and 146, are added, their Total is 469, from which if you deduct 146, the Re­mainder will be the greater Number; or if you substract 323 from the said 469, the Remainder will be 146, the lesser Number.

All Examples or Sums in Substraction of one Denomination, are performed as above, they varying act at all: But how­ever, once more for the better Explanation. Admit, a great Sheep Master hath in all 69 [...]4 Sheep, and takes out of them 2490 to dispose of at Market; how many doth he leave be­hind? To know this, set them down thus:

  • From—6904 the Greater Number,
  • Take—2490 the Lesser Number.
  • Answer 4414 the Remainder.

Here I say, 0 from 4, and there remains 4; then 9 from nothing (or 0) I cannot; but 9 from 10 (putting or making the 0 10) and there remains 1; then 1 that I borrow and 4 make 5; and 5 from 9, and there rest 4; and lastly▪ 2 from 6, and there remains also 4, (for I borrowed none, and therefore there's no Occasion of paying) so that he leaves behind him just 4414; which put to the Number he takes [Page 72] to Market, make [...] Number he first had, viz. 6904, and shews the Deducti [...] [...] true, and the Answer right.

More Examples for Practice.
l. Yards. Gallons. Pounds.
From 4796 3700 47200 479673
Take 2929 1976 31976 9769 [...]
Rem. 1867 1724 15224 381978
Proof. 4796 3700 47200 47967 [...]

Any Distance of Time that is from any particular Date [...] a Year, may be known by substracting that Date from th [...] present Date of the Year.

Example.

[...]

Subtraction of divers Denominations. Of Money.

  l. s. d.
Due 9 02 6
Paid 6 16 4
Rests due 2 06 2

Suppose Mr. Campion owes [...] Darnell 9 l. 2 s. 6 d. and [...] hath paid Mr. D. in part 6 l [...]word 4 d. what remains due to Mr [...]? Answer, Due to Mr [...] 2 l. 6 s. 2 d. as by this [...]

[Page 73]

  10 20 12 4
  l. s. d. q.
Sold for 242 16 3 ¾
Paid in part 174 12 6 ½
Answer 68 03 9 ¼

Again, Mr. Edwards sells to Mr. Francis, Spanish Wool to the Value of 242 l. 16 s. 3 d. ¾, and pays present Mo­ney, and by a Note on Mr. Goodwin, the Sum of 174 l. 12 s. 6 d. ½; what Money re­mains unpaid from Mr. Francis? Answer 68 l. 3 s. 9 d. ¼.

In the first of these Examples I say, 4 d. from 6 d. and there remains 2 d. then 16 s. from 2 s. I cannot, but borrow­ing one Integer of the next Denomination, or 1 Pound, which is 20 s. I say 16 from 20, and there rests 4, and taking the over Number 2, and putting it to the Remainder 4, makes 6; wherefore I put down 6 in the Place of Shillings, and say, 1 that I borro [...] and 6 is 7; now 7 l. from 9 l. there remains 2 l. so th [...] Money resting due to Mr. Darnell, is 2 l 6 s. 2 d. as in the Example.

In the second Example I say, 2 Farthings (or a Half-penny) from 3 Farthings, and there remains 1 or [...], which I set down in its proper Place, viz. under the Denomination of Far­things; then 6 from 3 I cannot, but 6 from 12, (as marked over the Denomination) and there remains 6, and 3 d. over it makes 9 d. which I place under the Line in its right Place, viz. of Pence; then 1 that I borrowed (that is 1 Shilling) and 12 is 13; 13 s. from 16 s. and there rests 3, which I likewise set down under its own Rank; then 4 from 2 I can­not but 4 from 12 (borrowing 10, as in Addition I carry 1 for every 10) and there rests 8; then 1 that I borrow and 7 makes 8; 8 from 4 I cannot, but 8 from 14, and there re­mains 6; so that the Sum remaining due is 68 l. 3 s. 9 d ¼. as in the Work. And for its Proof you must add the Re­mainder, 68 l. 3 s. 9 d. ¼. to the lesser, or under Sum, 174 l. 12 s. 6 d. ½, and it makes 242 l. 16 s. 3 d. ¾, the Sum first due, and is a Proof of the Work's being right. See the Example above.

[Page 74]

More Examples for Practice.
  10 20 12 4 10 20 12 10 20 12 4
  l. s. d. l. s. d. l. s. d.
Due 174 16 6 ¼ 74 10 4 2471 07 0
Paid 97 12 4 ¼ 29 12 9 1976 16 6 ½
Remain 77 04 1 ½ 44 17 7 494 10 5
Proof 174 16 6 ¼ 74 10 4 2471 07 0

  10 20 12 10 20 12 10 20 12
1 st Due 74 00 00 274 16 6 796 00 0
Paid 46 12 10 197 19 4 279 11 7
Balance 27 07 02 76 17 2 516 08 5
Proof 74 00 00 274 16 6 796 00 0

Sometimes a Sum owing [...] may be paid at several Times; then the several Payments must be added together, and their Total deducted from the Sum first due, as in this and the Examples following.

[Page 75]

  l. s. d.   l. s. d.
More due 249 12 0 Received 100 10 0
Received at se­veral Times. 24 12 6 Paid to several Persons. 6 16 0
9 14 9 10 0 [...] 0
20 00 0 5 12 6
16 16 6 20 10 0
22 10 2 7 09 6
13 12 6 9 08 6
7 16 4 7 12 6
Received in all 115 02 9 Paid in all 67 09 0
Rest due 134 09 3 Remains in the Bag. 33 01 0
Proof 249 12 0        
Avoirdupois Weight.
  10 20 4 28 10 4 28 10 16 16
  Tuns. C. qrs. lb. C. qrs. lb. lb. oz. dr.
[...]rom 44 12 1 10 246 2 12 146 02 10
[...]ake 39 14 2 06 164 3 22 97 10 12
  4 17 3 04 81 2 18 48 07 14
Proof 44 12 1 1 [...] 246 2 12 146 02 10
Troy Weight.
  10 12 20 24 10 20 24
  lb. oz. pwt. gr. oz. pwt. gr.
From 462 04 10 11 1247 10 12
Take 196 09 06 16 976 16 17
Remain 265 07 03 19 270 13 19
Proof 462 04 10 11 1247 10 12

And so much for Subtraction; which Method will serve [...]or any Denomination whatever, having respect to the se­ [...]eral Tables of Quantity, as before hinted in Addition.

[Page 76]

MULTIPLICATION.

THE next Rule in order is Multiplication, and perhap [...] the most serviceable Rule in Business, for its quick Dispatch, of all others in Arithmetick, and I shall endea [...]vour to shew, by its Nature, Quality and Use, that it is so▪ And,

1. Multiplication is a Rule that by two Numbers g [...]ve [...] teacheth to find out a third which shall contain either of [...] two as many Times as the o [...]her containeth Units.

2. In some Cases Multipli [...]ation is also a compendio [...] Worki [...]g of Addition.

3. It serves likewise to bring great Denominations into small, as Pounds into Shillings, Pence, or Farthings

4. Having the Length and Breadth of a plain Supe [...]fi­cies, we find its Contents in Square Measure.

5. By Multiplication we find by having the Value of [...] Thing, or the Wages of one Person, how to know the [...]lue of many Things, or the Wages of many Pesons.

In Multiplication we are particularly to take Notice [...] these three Terms, viz.

  • The Multiplicand,
  • The Multiplier, and
  • The Product.

1. The Multiplicand (generally [...] greater of the tw [...] Numbers) is the Number to be [...]ltiplied.

2. The Multiplier, (generally the lesser of the two Num [...]bers) is the Number to multiply with.

3. The Product, or Result of the Work, being the An­swer.

But before any Procedure can be made in this Rule, it [...] necessary to have the following Table by Heart▪ and that very perfectly.

[Page 77]

The Multiplication Table.
2 3 4 5 6 7 8 9 10 11 12
4 6 8 10 12 14 16 18 20 22 24
  9 12 15 18 21 24 27 30 33 36
    16 20 24 28 32 36 40 44 [...]
      25 30 35 40 45 50 55 60
        36 42 48 54 60 66 72
          49 56 63 70 77 84
            64 72 80 88 96
              81 90 99 108
                100 110 120
                  121 132
                    144

This Table is so plain and easy, that there is no need of [...]ction▪ for 'tis but guiding the Eye from the Side Column [...]o the Head, and in its opposite Angel or Square you have [...]he Answer; and contrariwise, by directing the Eye from [...]he Head to the Side, you have the same; as 6 times 9 is 54, [...]nd 9 times 6 is 54; so 7 times 8 is 5 [...], and 8 times 7 is [...]6, &c. And so it ought to be got by heart for the more [...]exterous Readiness in multiplying.

Now for Application.

Example 1. How many is 3 times 472? Which [...] must be set down as in the Margin; and then say, 3 [...]imes 2 is 6; which place under 3 the Multiplier; [...]hen 3 times 7 is 21; set down 1 under 7, and car­ [...]y 2 for the two Tens; as in Addition of one D [...]no­ [...]ination; then 3 times 4 is 12, and 2 is 14; which set [Page 78] down, and the Product is 1416; that is, 3 times 472 makes so much; and may be proved by Addition, by setting dow [...] 472 three times, in additional Order, and casting it up▪ which makes the Assertion good in the second Definition, that this Rule compendiously performs the Office of Addi­tion. Likewise the foregoing Example agrees with the first Definition; for as 3 times 472 makes 1416, so doth 47 [...] times 3 make the same, viz. 1416.

Example 2. Again, how many makes 742 multiplied by 4?

[...] Here I say, 4 times 2 is 8, and [...] times 4 is 16; 6, and carry 1; and [...] times 7 is 28, and 1 is 29, which se [...] down; so the whole Product is 2968, as per Example.

More Examples of one Figure in the Multiplier, are these, viz.

Multiplic. 7420 4444 7460 90704 5678 [...]
Multiplier 5 6 7 8 [...]
Product 37100 26664 52220 725632 51110 [...]

Compound Multiplication.

Is when the Multiplier consists of two, three, four, [...] more Figures, or Figures and Cyphers.

And here you must begin with that Figure which is in th [...] Place of Units of the Multiplier, and go through the who [...] Multiplicand, by multiplying each Figure of it first by tha [...] said Unit Figure, then by the next, to wit, by the Figur [...] in the Place of Tens of the Multiplier, then with the third &c. to the last; always remembering to place the [...] Figure of every Product or Line, (for you will ever have [...] many as you have significant Figures in the Multiplier) I sa [...] remember to place the first Figure of each Line exactly an [...] perpendicularly under the Figure you multiply by; and the [...] add the several Lines or Products together, which so co [...]lected gives the total Product required, as in the Exampl [...] following, viz.

[Page 79] Example 1.

H [...]w many is, or are, 23 times 7426? first I [...] [...]egin with the Unit Figure 3 in the Multiplier, [...]aying 3 times 6 is 18; 8 (which I set directly [...]nder 3 by which I multiply) and carry 1; then [...] times 2 is 6, and 1 is 7; then 3 times 4 is [...]2; 2 and carry 1; then 3 times 7 is 21, [...]nd 1 is 22: And so I have done with the first [...]igure of the Multiplier, viz. 3, Then I go to [...] next, that is 2, and twice 6 is 12; 2 and carry 1, which 2 is placed in a direct Line under 2, the Multiply­ [...]g Figure) then twice 2 is 4, and 1 is 5, then twice 4 is 8; [...] lastly, twice 7 is 14, which I set down: Then I add the [...] Products together, saying 8 is 8, &c. and the Total is [...] right and proper Product, or Result of the Multipli­ [...]tion, viz. 170798. Again,

Example 2.

What is the Result or total Product of [...] It will appear too prolix, and altogether [...]necessary, to give more verbal Directions; [...], indeed nauseous Tautology, since those [...] above are sufficient; and therefore the [...]arner is referred to the Observation of the [...]ample, as also to those two that follow, viz. [...] When Cyphers are intermixed with Figures in the [...], then multiply by the Figures as above; and when you [...] to a Cypher in the Multiplier, then set down another [...] exactly and perpendicularly under it, then begin the [...]tiplicand again with the next Figure to the Cypher in the [Page 80] Multiplier, and go through it in the same Line, placing the first Figure of that Product next to the Cypher towards the Left-hand, but then heed must be taken that the next Figure or Cypher of the next Line must be set down one Degree farther towards the Left-hand, and not immediately under the last Figure set down next to the Cypher: As in the fol­lowing Examples may be fully understood.

[...]

When you have a Cypher or Cyphers in the Mutliplier ▪ at the Beginning towards the Right-hand, then set it, [...] them, backwards from the Place of Units towards the Righ [...]hand; and when you have multiplied by the Figure or [...]gures, annex the Cypher or Cyphers: As in these [...]

[...]

If you have Cyphers both in the Multiplicand and Mult [...]plier, then neglect the Cyphers in both, and multiply [...] the Figures, and annex the Cyphers at last: As in the Examples.

[...]

[Page 81]When you are to multiply by 10, 100, 1000, or 10000, [...] is only adding or annexing so many Cyphers to the Multi­ [...]licand, that is, either 1, 2, 3, or 4 Cyphers, and the Work [...] done. Example, Suppose I am to multiply 375 by the Numbers above; if I multiply it by 10, then I join 0 to [...]75, and then it makes, or the Product is 3750: If by 100, [...]hen I annex 00, and then it makes 37500: If by 1000, [...] put to it 000, and then it produces 375000. And lastly, [...] by 10000, I then add 0000, and then it makes 3750000 &c. And thus may any Number be multiplied, when the Multiplier consists of a Unit with any Number of Cyphers, [...]nd done by Inspection only, without any formal setting [...]own the Multiplicand, with a Line drawn under it, &c.

Thus far for Direction in the Manner how to multiply; [...] next will be to shew the Uses of Multiplication in real [...]usiness, and how to apply it on proper Occasions, viz.

1. Suppose you want to know how many Half Crowns [...]ere are in 246 l. you know that 8 Half Crowns make 1 l. [...]herefore set them down thus.

[...]

Again, in 1968 Half Crowns how many Pence?

[...]

And this serves to make out, that great Denominations [...] brought into smaller by this Rule, according to the third [...]efinition.

2. Admit you wanted to know the Contents of a large [...] board Table, 34 Feet long, and 4 Feet wide; mul­ [...]ly 34 the Length, by 4 the Breadth, and the Answer will [...]136 Square Feet for the true Contents of such a Table. [...] this agrees with the 4th Definition of this Rule.

3. If I know the Value of a Yard of Broadcloth to be [...] Shillings, what is the Value of 220 Yards of the said [...]oth in Shillings?

[Page 82] [...]

If the Wages of 1 Seaman be 23 Shillings a Month, wha [...] is the Wages of 250 Seamen for the same Time?

[...]

Answer 5750 Shillings, or 287 l. 10 s.

And these two Examples accord with the fifth Definition or Use of this Rule.

And thus much for plain Multiplication.

I shall, in the next Place, say some small Matter concerni [...] Multiplication of Money, and a little of its Use, and so co [...]clude this Rule.

Multiplication of Money.

Multiplication of Money (what most would learn abo [...] any thing) hath great Affinity with Addition of Money; [...] same Method being taken in carrying from one Denomin [...]tion to the next, viz. from Farthings to Pence, from Pen [...] to Shillings, and from Shillings to Pounds. And as in A [...]dition (and other Multiplications) you begin at the Right-han [...] and proceed towards the Left; so here you begin at the lea [...] Denomination, which is also at the Right-hand.

This Method of accompting is the most apt and expedi­tious of all others, for small Quantities; and therefore ex­tremely necessary in making Bills of Parcels, &c. and is, be­yond all Contradiction, as sure and certain as any way whatsoever.

The general Rule,

Is always to multiply the Price by the Quantity.

The first Step is, for Quantities from 2 to 12; and this [...] done by one Multiplier; as in the Examples following.

[Page 83] [...]

Here I say 6 times 6 is 36 Pence, which is just 3 s. I set [...]own 0 in the Place of Pence, and carry 3 s. to the Place of [...]hillings, (exactly the same as in Addition of Money) then 6 [...]mes 12 is 72, and 3 is 75 s. or 3 l. 15 s. wherefore I set [...]own 15 in the Place of Shillings, and carry 3 to the Pounds; [...] 6 times 7 is 42 and 3 is 45 l. So the whole Amount of [...] 6 Cloths, at 7—12—6 per Cloth, is 45 l. 15 s▪ as in the Work, and very concise.

Example 2.

Again, how much is 9 times 13 s. 4 d. or what is the [...]mount of 9 Marks? [...]

In this Example I say, 9 [...]mes 4 is 36 d. or 3 s. I set [...]own 0, and carry 3; then times 3 is 27, and 3 makes 30; I set down 00 and carry (as in Multiplication of simple Numbers;) then 9 times 1 9, and 3 is 12, which being the Tens of Shillings, conse­ [...]uently they are Angels; which being halved, make just 6 l. [...] so much is the Value of 9 Marks, or any thing else at [...]ut Price, viz. 13 s. 4 d.

Example 3.

Once more, What comes 12 Gallons of Wine at 5 s. 4 d. [...] Gallon? [...]

Here I say, 12 times 4 is 48; 0 and [...]any 4; then 12 times 5 is 60, and 4 is [...] 4 s. or 3 l. 4 s.

The next Degree or Step of Advance in this Way of [...]eckoning, is of Quantities exceeding 12, even to 12 times [...]2, or 144; all which as far as 144, are found in that ex­ [...]ellent Table, the Table of Multiplication; which is a ready [...]elp to all Purposes of Reckoning, and particularly in this [...]ay; and that you may proceed with Dexterity, you must [...] very ready in the said Table, that you may be immedi­ [...]ely apprehensive what component Parts hit your Quantity [...]roposed, or pretty near it, (for any Quantity below 12 [Page 84] needs no Recollection at all, as in two of the Examples fore­going) and then work accordingly; as 15 Yards at, &c. I readily know that 3 and 5, or 5 and 3, are to be my Mul­tipliers. If to 21, then three and 7, or 7 and 3, as above. If to 30, then 5 and 6, or 6 and 5, also 3 and 10, or 10 and 3. If to 45, 48, 56, 66, 72, 96, &c. then 5 and 9, 6 and 8, 7 and 8, 6 and 11, 6 and 12, and 8 and 12, &c. are to be Multipliers, and exactly hit their several Quantities of which they are component Parts; and Examples of this Kind have two Multiplications for their Solution.

When the Quantity proposed is a Number irregular, or such a Number that no two Numbers in the Table can be found to answer it, then we must multiply by two such Numbers as come pretty near it, as is said above; and for the Number wanting, to make up the Number or Quantity proposed, multiply the given Price of one by the Number that is wanting; which will make three Products by [...] Multiplications; which last Product must be added to the foregoing Products resulting from two Multiplications, an [...] the Total will be the Answer.

And first, I shall shew Examples of the second Step, [...] of Regular Quantities that exceed 12, and are precisely an [...]swered at two Multiplications, such as mentioned above, viz. [...]

What comes 15 Yards of Muslin to, at per Yard?

Here 3 times 5 is 15 d. or 1 s. and 3 d. 3 and carry 1 s. then 3 times 3 is 9, and 1 is 10 s. so the first Product is 10 s. 3 d. which I multiply by 5, saying, 5 times 3 is 15 d. or 1 s. 3 d. 3 and carry 1; then 5 times 10 is 50, and 1 is 51 s. or 2 l. 11 s. So the whole Amount of 15 Yards, at 3 s. 5 d. per Yard, is 2 l. 11 s. 3 d. And demonstrable thus, viz. If 10 s. 3 d. be the Value of three times 3 s. 5 d. then 5 times the Value of 10 s. 3 d. must of Necessity be 15 times the Value of 3 s. 3 d. because 5 times 3 is 15: And its Truth may be proved by Additions and Multiplication, thus; set down 3 s▪ 5 d. three times in additional Order, and put the three Line [...] together, and the Total of them multiply by 5, as before and the Answer will be the s [...]me. Or set down 17 s. 1 d (the Product of 3 s. 5 d. multiplied by 5) three times also [Page 85] and add them together, and the total will be exactly the same with the Result by Multiplication; as in the following Specimen of Work.

[...]

Here the first of these two Proofs is worked by Addition and Multiplication, and the second by Multiplication (as per Margin) and Addition. Also,

By this we see, that in all Examples under this Head, we are to pitch on two Numbers (for Multipliers) in the Table; which multiplied together, make the Quantity proposed; and then we are to multiply the Price by one of the Numbers, (it matters not by which first) and then that Product is to be multiplied by the other Number, and the second or last Pro­duct will be the Answer.

Example 2.

Again, What is the Value of 21 Gallons of Brandy?

[...] In this Example I say, times 9 is 63 d. or 5 s. 3 d. I set down 3 and carry 5; then 7 times 7 is 49, and 5 is 54 s. or 2 l. 14 s. So the first Product is 2 l. 14 s. 3 d. which I multiply by 3, and that produces the last Product or Answer, viz. 8 l. 2 s. 9 d.

Now follow a few more Examples of this Sort, without [...]ny verbal Directions, because I think those already given to [...] sufficient.

[Page 86] Example 3.

What comes 30 Ells of Holland to, [...]

Example 4.

45 Pound of Raw Silk [...]

In the first Product of this Example I say, the half of 7 is 3 and half, or 3 l. 10 s. [...]nd in the last, the half of 15 [...] and half, or 7 l. 10 s. &c▪

Example 5.

56 Bushels of Wheat.

[...]

Example 6.

72 Broad Pcs. at [...]

In the first Product the [...] of 28 Angels is 14 l. &c

Example 7.

108 lb. of Indigo Lahor

[...]

Example 8.

96 C. of Currants, at— [...]

[Page 87]The next Gradation of Advance is of Quantities irregu­lar, or of Numbers that are not to be answered precisely at two Multiplications: In this Case, there ariseth no Increase of Difficulty, but it is as easy as the Examples foregoing; only here you will have an Addition of one Line more, oc­casioned by bringing down the Price of one to be added to the last Product, or else a Line more made by multiplying the Price by what is defective or wanting in the Number by two Multiplications to make up the proposed Quantity com­pleat; as it may be of 2, 3, 4, 5, &c. as by the subse­quent Examples may be seen and understood.

Example 1. What is the Product of 2 l. 13 s. 6 d. mul­tiplied by 39?

[...] Here I find that 6 mul­tiplied by 6, makes 36; which is within 3 of the Quantity proposed; where­fore I multiply by 6, and that Product again by the other 6; the last Product is 96 l. 6 s. which is the Value of 36, but we want to know the Value of 39; wherefore I multiply the Price of one, [...]iz. 2 l. 13 s. 6 d. by 3 that is defective or wanting to [...]ake up 36 to 39, saying 3 times 6 is 18 d. &c. And find [...] 3 times 2 l. 13 s. 6 d. is 8 l. 00 s. 6 d. which added to 6 l. 6 s. 0 d. the Total gives the compleat Value of 39; [...] 36 and 3 makes 39. See the Work.

Example 2. What comes 79 C. wt. of Cheese to, at 28 s. [...] C. weight?

[...] In this Example I say, 7 times 0 is 0; then 7 times 8 is 56; 6 and carry 5; and 7 times 2 is 14, and 5 is 19; the half of which is 9 and half, or 9 l. 10 s. 0 d. So the first Product is 9 l. 16 s. 0 d. which multiplied by 11 pro­duces 107 l. 16 s. 0 d. or the Value of 77; then for 2 wanting I multiply [Page 88] the Price by it, and that gives 2 l. 16 s. 0 d. which added to 107 l. 16 s. 0 d. which makes the whole Value of 79, viz. 110 l 12 s. 0 d. as in the Work. Or, as there are no Pence in the Price, you may multiply 28 s. by [...] 79 without bringing it into Pounds as you work it, but omit it till the last, and then cut off or separate the last Figure or Cypher of the Product towards the Right-hand, and halve those towards the Left, which Half will be Pounds, and the Figure cut off Shillings, as in this Example.

The Half of 2, is 1, and the Half of 1 is 0, which 1 joined to the 2 severed from 221, makes 12; so the Answe [...] is 110 l. 12 s. as before.

Example 3. 112 Pound of Sugar at 5 ½ per lb. set [...] thus: [...]

Here after I have multiplied by 10 and 10, the Parts of 100, there wants 12; wherefore I multiplied 5 d. ½ by 12, and it gives 5 s. 6 d. for 12 lb. at 5 d. ½, which added to 2 l. 5 s. 10 d. the Value of 100, makes 2 l. 11 s. 4 d. the true Value of 112 lb. at 5 d. ½ per Pound.

[Page 89] Example 4. 94 Stone of Beef, at 22 d. or 1 s. 10 d. per Stone.

[...] Here what is wanting after the two Multiplica­tions, is 4; wherefore I multiply 1 s. 10 d. (the Price) by 4, which pro­duces 7 s. 4 d, to be ad­ded, &c.

Example 5. 97 C. ½ of Raisins,

[...] After I have multiplied by 9 and 10, I multiply the Price 25 s. 6 d. by the Quantity wanting, and it produces 8 l. 18 s. 6 d. then for the Half C. I take Half of the Price, which is 12 s. 9 d. and then col­lect the three Lines, the Total of which is 124 l, 6 s. 3 d. for the Answer.

Note. From the last Example may be observed, that there [...] no need of too much Solicitude concerning coming so [...]ery near by two Multiplications, for there 7 is wanting to [...]ake up the true Quantity; nay, if the two Multiplications [...] short by 20 or 12, it is near enough; for 'tis as easy to [...]ultiply the Price by 10 or 12▪ as by 2 or 3, and the Ad­ [...]tion is the same.

[Page 90] Example 6. Once more; What comes 110 C. ¾ of Hops to, at 4 l. 10 s. 6 d. per C.

[...] After I have multiplied by 10 and 10, which makes 100, I multiply the Price, 4 l. 10 s. 6 d. by 10 that is wanting, which gives the same with the first Pro­duct, viz. 45 l. 5 s. 0 d. which stands under the Product by 100; and for the ¾ of a C. I take ¾ of the Price, viz. first the Half, and then the Half of that Half, that is 2 l. 5 s. 3 d. an [...] and 1 l. 2 s. 7 d. ½; which fou [...] Lines added together, mak [...] 501 l. 2 s. 10 d. ½ for the Answer

To prove Multiplication.

Whether of Simple Numbers, or of Money; it is [...] surely done by Division; but before that is known, take [...] Method, viz. As you multiplied the Multiplicand by [...] Multiplier, so contrariwise multiply the Multiplier by [...] Multiplicand; and if the Products are alike, the Work [...] right; or otherwise one of them is wrong, and must be [...] over again till they do agree.

Example 1.

[...]

Here (reversly) I say, 5 times 4 is 20; 0 and [...] times 4 is 24, and 2 is 26; 6 and carry 2, and 3 [...] 12, and 2 is 14. Then 5 Times 2 is 10; 0 and [...] 6 tim [...]s 2 is 12, and 1 is 13; 3 and carry 1; and [...] 2 is 6, and 1 is 7. Which Products added togeth [...] [...] 8760, the Hours in a Year, without taking in the [...] Hours, which the Year doth consist of more than 365 Day [...]

[Page 91] Example 2.

[...] I say here, twice 7 is 14; 2 and carry 1 s. and 3 times 7 is 21▪ and 1 is 22 s. or 1 l. 2 s. Again, twice 8 is 16 d. 4 and carry 1 s. and and twice 8 is 16, and 1 is 17 s, 17 and carry 0; and once 8 is 8 l. Thus both these Examples are the same in Consequence as if you pro­ceeded in the common and regu­lar Method of Multiplication, and shews the Truth of the Operation.

The next Rule in Order, of Course, is

DIVISION.

THIS Rule, though accounted the hardest Lesson in A­rithmetick, yet I shall make it easy and intelligible to [...]he meanest Capacity.

The Use of this Rule is to know how many times one Num­ [...]er or Sum is contained in another; as if it were ask'd, how [...]ften is 9 contained in 54? the Answer is 6 times; or, how [...]any times 12 is there in 144? Answer 12 times.

As by Multiplication great Names or Denominations are [...]rought into small; so contrarily, by Division, small Names [...] brought into greater; as Farthings (from one Gradation [...]) into Pounds, Pounds Weight into Tuns Weight, [...] Liquid into Tuns Liquid, &c.

[...] Rule we are to take particular Notice of these three [...] Terms following, viz.

  • The Dividend, or Number to be divided.
  • The Divisor, or Number by which we divide.
  • The Quotient, or Answer to the Work; which [...] shews how often the Divisor is contained in [...] [...]ividend.

The Remainder; which is an uncertain Branch of this [...], because there is sometimes a Remainder, and some­ [...]es not. ☞ And you must particularly note, That the [...]emainder is ever of the same Name with the Dividend, [...] is always less than the Divisor; for if it be more, or [...]ual to the Divisor, the Work is wrong.

Division is either Single or Compound; Single, when the [...]ivisor consisteth of a single Figure, and the Dividend of [Page 92] two at most. Any of this sort is answered by the Multip [...]cation Table; as if 63 were to be divided by 7, the Answ [...] will be 9 times. Here 63 is the Dividend, 7 the Diviso [...] and 9 the Quotient or Answer.

Compound Division is when the Dividend hath many, [...] more Figures or Cyphers than two, and the Divisor one [...] more Figures or Cyphers, &c.

Example.

How many times 7 is there contained in 365? Or, [...] many Weeks in a Year?

A General Rule for Working. [...]
Note
  • 1. Seek,
  • 2. Multiply,
  • 3. Substract.

Having set down the Example with two crooked Lines, [...] half Parenthesis, one for the Divisor, and the other for [...] Quotient, I begin according to the afore-mentioned [...] Rule for Working, by seeking or asking how often I [...] take 7, the Divisor, out of 36 the two first Figures of [...] Dividend (for I cannot take 7 out of 3, the Quotient, [...] never to begin with 0) and the Answer is 5 times; whe [...]fore I place 5 in the Quotient, and multiply the Divisor [...] by it (as directed in the General Rule) saying 5 times 7 is [...] which I place under 36; and then thirdly, according to [...] said Rule, I substract 35 from 36, and there remains 1; [...] which I bring down the next, or last Figure of the Divide [...] viz. 5, and then there is 15 for a new Dividend, [...] Dividual, to work upon; then I ask or seek again, [...] oft 7 may be taken in 15? and the Answer is 2 time [...] wherefore I put 2 in the Quotient next to the 5; by whi [...] 2 I also multiply the Divisor 7, saying, twice 7 is [...] which I set down under 15, and substract, and there r [...]mains 1, which I place between two Semicircles thus, [...] as it stands in the Work; where observe, That 365 is [...] Dividend, 7 the Divisor, 52 the Quotient, or Answer, [...] 1 the Remainder. The Quotient declares that 7 is [...] in 365, 52 times, and 1 over, or remaining; which I [...] over the Divisor, thus, 1/7, and signifies that there is [...] Seventh of a Week, or 1 Day, more than just 52 [...] in a Year, or 365 Days; which is easily to be foun [...] [...] [Page 93] [...]lecting the Days of each Calendar Month as they stand [...] the Almanack.

You may Note, That the said 1/ [...] one Seventh is properly [...] is called a Fraction, or a Piece or Segment of the [...]; but of this hereafter.

[...]ote also, That if there had been more Figures or [...] in the Dividend, they must have all been brought [...], one by one at a time (and never but one at a time) [...] (after Substraction) set to the Remainder; and if there [...] 0, you must still bring down but one Figure or [...] at a time; and for every Figure or 0 so brought down, [...] must be a Figure or 0 placed in the Quotient, according [...] times you can take the Divisor out of the several [...]viduals you make, by drawing down a Figure or Cypher [...] Time out of the Dividend, till all be brought down, [...] the Work ended.

[...] a Specimen, let us divide 8060 Pounds of Tobacco [...] among 8 Men.

[...] Here I say the Eights in 8 once; which I put in the Quotient, then the Eights in 0, 0 times; which I like­wise put in the Quotient; then the Eights in 6, 0 times again; which is also [...] in the Quotient, and there remains 6; to which I [...] down 0, the last of the Dividend, and it makes 60; [...], the Eights in 60 7 times, and 7 times 8 is 56, from [...] and there remains 4; so the Quotient shews that each [...] must have 1007 Pounds of Tobacco for his Share in [...] Dividend 8060, and there remains 4 Pounds over and [...], which makes Half a Pound more due to each Man, [...] 4 the Remainder is Half of 8 the Divisor; and so [...] Work is Done, the Quotient giving to each Man 1007 [...] and a Half for his equal Share.

Note, That in the Operation, every time that you bring [...] a Figure or Cypher, you are to make a Point under it the Dividend, to signify th [...]t such a Figure or Cypher [...] been b [...]ought down and done with, as may be observed the foregoing Example.

Though this Way of Working is plain, and easy to be [...]erstood, yet it is somewhat tedious; and therefore I shew [...]uicker Way for Dispatch, when the Divisor is a single [Page 94] Figure; as shall be made conspicuous in these Examp [...] following, viz.

[...]

In the first of these Examples I say, the 4's in 7, [...] and there remains 3, which makes 8, the next Figure [...] the Dividend 38; then the 4's in 38, 9 times; 9 times 4 [...] 36, from 38, and there remains 2; which makes 9 the [...] Figure in the Dividend, 29; then the 4's in 29, 7 time [...] 7 times 4 is 28, from 29, and there rests 1; which makes▪ the next of the Dividend, 10, and the 4's in 10 twic [...] twice 4 is 8, from 10, and there remains 2; which make [...] 6, the last of the Dividend, 26; lastly, the 4's in 26, [...] times; and 6 times 4 is 24, from 26, and there rests 2 [...] Remainder; and so for the other two Examples. And [...] Proof of the Work, (or of any other Example) multipl [...] the Quotient by the Divisor, and take in the Remainder [...] the first Place, or Place of Units; and if the Product [...] the same with the Dividend, the Division is right; for [...] say, 4 times 6 is 24, and 2 the Remainder makes 26; [...] and go 2, &c.

More Examples by a single Figure.

[...]

This is the shortest Way of Division that can be by a [...] Figure.

As it is necessary for Expedition to multiply by 11 and 1 [...] as by a single Figure, to have the Product in one Line; [...] divide as in these Examples, viz.

[Page 95] [...]

[...] of these Examples, I say, the 11's in 72, [...], &c. In the second, I say, the 12's in 76, [...], &c. In the third, the 11's in 47, 4 times▪ [...] 44, from 47, and there rests 3, &c. In the [...] say, the 12's in 42, [...] times; 3 times 12 is 36, [...] ▪ and there remains 6, &c.

[...] being ready and dextrous in the Examples above, you [...] expeditiously divide by these Numbers, viz. 110, 120, [...]00, or 1200; &c. for it is but cutting off, or separating [...] Cyphers from 11 and 12, (when these Numbers happen [...] be Divisors) and cutting off and separating the like Num­ [...]ers of Figures or Cyphers from the Right-hand of the Di­ [...]dend, and then divide the other Figures or Cyphers to­ [...]ards the Left-hand, by 11 or 12, as it shall happen; as [...] the Examples following, viz.

Divide 34567 by 110, and 890123 by 120, and 98765 [...] 1100, and 678901 by 1200.

[...]

[...]hen you divide by 10, 100, 1000 or 10000, &c. you [...] nothing more to do than to cut off, or to separate so [...] Figures or Cyphers of the Dividend towards the Right- [...], as you have Cyphers in the Divisor, and those Figures [Page 96] towards the Left make your Quotient; and those cut [...] towards the Right, is the Remainder.

Examples.

Divide 123456789 by 10, 100, 1000, or 10000.

By 10 the Quotient is 12345678, and the Remainder 9▪

By 100 the Quotient is 1234567, and Remainder 89.

By 1000 the Quotient is 123456, and Remainder 789.

By 10000 the Quotient is 12345, and Remainder 678 [...]

When the Divisor consisteth of several Figures, [...] there ariseth a little more Difficulty in the Work, but if [...] following Directions are heedfully attended to, the seemi [...] Difficulty is easily overcome; as in the succeeding Exampl [...] viz.

Suppose I am to divide 78901 Pounds among 32 Parish [...] or suppose an Assessment of so much Money was laid on [...] many Parishes; what must each Parish pay by an equal P [...]portion towards the raising such a Supply?

Divisor 32) 78901 (. . . . Quotient.

The Example thus set out, I begin at the Left-hand, see [...]ing how often I can take 32 out of 78; or more easy, [...] many times 3 there is in 7, and the Answer is two tim [...] which I place in the Quotient thus 32) 78901 (2, and [...] according to the General Rule of Working, I multiply [...] Divisor 32, by the two placed in the Quotient, sayin [...] twice 2 is 4, and twice 3 is 6; so there is 64 to be taken [...] of 78, and stands thus: [...]

Then I make a Point under 9, the third Figure of [...] Dividend, and bring it down to the Remainder 14, and [...] the Work appears thus: [...]

Then I seek again, asking how many times 32 in 149 which is not readily to be answered; but how many times [...] the first Figure of the Divisor, is there in 14, the two [...] Figures of the Dividual 149, and the Answer is 4 time [...] wherefore▪ after placing 4 in the Quotient, I multiply, ( [...] in the General Rule) the Divisor 32 by the said [...] [Page 97] [...]ying, 4 times 2 is 8, placing it under 9 in the Dividual; [...] 4 times 3 is 12, and set down under 14; so there is 128 [...] be taken out of 149, and then the Work appears thus:

[...] And after Substraction there remains 21; then I make a Point under 0 in the Divi­vidend, and bring it down to the Right of the Remainder 21; and then there is 210 for a new Dividual; then as the general Rule directs, I seek again, say­ing, how many times 32, the Divisor, [...] there in 210, the Dividual? or easier, how many times 3 [...] 21? ☞ For observe well, That when ever you have a [...] more in the Dividual than in the Divisor, then always [...] how oft you can take the first Figure of the Divisor [...] of the two first of the Dividual) and the Answer is 7 [...] but it will not bear 7 times, for 7 times 32 is 224, [...] you cannot take 224 out of 210; or rather, you cannot [...] 22 out of 21; wherefore try in your Mind before you [...] down the Answer, or Figure in the Quotient, whether [...] will go to the Number of Times as is most easily suggested; [...] here the Question or Demand is readily answered 7 times; [...] so many times 3 may be taken in 21; but when you [...] to multiply the whole Divisor by the times you place [...] the Quotient, you begin at the Right-hand, and go to­ [...]ards the Left, carrying the Tens that arise to the next [...]lace, which increases the Product so, that sometimes Sub­ [...]raction cannot be made, because the under Line is greater [...] the upper, or that which you should substract from; [...]herefore first try in your Mind as abovesaid; and since it will [...]ot bear 7 times, try if it will go 6 times; saying, 6 times [...] is 12, 2 and carry 1, and 6 times 3 is 18, and 1 is 19; [...]nd 19 may be taken out of 21, therefore set down 6 in [...] Quotient next to the 4, and multiply the Divisor 32 by [...], and the Work will stand thus:

[...] Here the Divisor 32 multiplied by 6, gives 192 to be taken out of 210, and the Remainder is 18; to which, after a Point made under it, I bring down the 1, the last Figure of the Dividend, and then there is 181 for a new Divi­dual; then according to the Rule, I seek again (for you are to note, That the aforesaid General Rule for working must be as often repeated as you bring down a [Page 98] Figure or Cypher from the Dividend, to make a new Dividual; and also, that for every Figure or Cypher brought down, there must likewise be a Figure or Cy­pher placed in the Quotient, how many times 32 the Di­visor may be taken out of 181 the Dividual; or how many times 3 in 18, and the ready Answer is 6 times, but on the Trial I find it will not go 6 times, wherefore I try a [...] less by [...], viz. 5 times, and find [...] it will bear it; and setting 5 in the Quotient next to the 6, I multiply the Divisor 32 by it; and it produces 160; which sub­stracted from 181, the last Re­mainder is 21, and the Quotient or Answer is 2465; and shews that 32 is contained in 78901, 2465 times, and 21 over, as per Work,

Again, admit a Nobleman hath 30,000 l. per Annum what is his daily Income?

If you divide 30000 by 365 (the Days in a Year) [...] Quotient will be the Answer. Set it down for working thus

[...]

First, seek how many times 365 can be taken in 300, ( [...] equal Number of Places with the Divisor) answer 0 times wherefore I go a Place farther to the Right-hand, in the Di­vidend (for 0 must never begin the Quotient, as was said be­fore) and make a Point under it, viz. under the last 0 bu [...] one, as may be seen in the Example; and there being [...] Place more in this pointed out Dividual than in the Divisor▪ I seek how oft the first Figure of the Divisor, viz. 3, is co [...]tained in the two first Figures or Places of the Dividend, viz. 30, and the Answer is 10 times; but you are never to tak [...] above 9 times at once, in any of these Examples of Divi [...]sion, wherefore try in your Mind whether it will bear [...] times, before you set it down in the Quotient (as was sai [...] before) saying to yourself, or in your Mind, 9 times 5 [...] 5 and go 4; 9 times 6 is 54, and 4 is 58; 8 and go 5; [...] 9 times 3 is 27, and 5 is 32; now 32 cannot be taken [...] of 30, wherefore take a time less by a Unit or One, vi [...] [Page 99] [...] [...]imes; and finding it will go 8 times, set down 8 in the [...]otient; and then say, 8 times 5 is 40; 0 and carry 4; [...] 8 times 6 in 48, and 4 is 52; 2 and carry 5; and 8 [...] 3 is 24, and 5 is 29; and then there is 2920 to be [...] from 3000; and after Substraction, the Work appears [...]. [...]

Then to the Remainder 80, I bring down 0, the last of [...] Dividend, and then there is 800 for a new Dividual; [...] you must try how oft you can take 365 out of the said [...] 800, and the Number of Places being equal to [...] in Divisor and Dividual, to wit, 3, ask how oft three [...]8; answer twice; so put 2 in the Quotient, and say, twice [...] 10; 0 and carry 1; and twice 6 is 12, and 1 is 13; 3 [...] carry 1; and twice 3 is 6, and 1 is 7; so there is 730 [...] be deducted from 800, and the Remainder is 70, as in [...] whole Work may be seen, viz.

[...] Thus by the Work the Noble­man hath Eighty-two Pounds per Diem, and 70 Pounds over; which if multiplied by 20, the Shillings in a Pound, would produce 1400 Shillings; which if divided per said Divisor 365, there would [...] out 3 s. a Day more, and there will be a Remainder of [...]5, which multiplied by 12, the Pence in a Shilling, pro­ [...]ces 3660; which divided still per 365, gives 10 Pence a [...] more: So that 30000 l. a Year is l. 82—3—10 a Day.

Once more; Divide 46242 Gallons of Canary by 252, [...] Gallons in a Tun, thus set down: [...]

In this Example, after Enquiry I find that it will not go twice; therefore I set down 1 in the Quo­tient, and place 352 under 462 of the Dividend, and after Substrac­tion the Remainder is 210; to which I bring down 4 from the Dividend, and the Dividual is 2104; and then seeking again, find it will bear 8 times; which [...] in the Quotient, and the Divisor 252 multiplied by [Page 100] it, the Product is 2016 to be substracted from 2104, whi [...] being done, the Remainder is 88; to which 2, the last F [...]gure of the Dividend being brought down, there is 88 [...] for the last Dividual; and then seeking again, I find it [...] go 3 times; and the Product of the Divisor multiplied by 3 [...] is 756; which substracted from 882, there remains 126 [...] the last, or true Remainder: So that by this Division, [...] find there are 183 Tuns in 46242 Gallons, and 126 Gallon [...] remaining, or over and above; which being Half of 25 [...] the Divisor, the Remainder is therefore Half a Tun more.

When you have a Cypher or Cyphers in the Divisor, [...] the First, Second, or Third Place, &c separate such Cy­pher or Cyphers with a Dash of the Pen, from the rest of the Divisor; and also cut off as many Figures or Cyphers fro [...] the Right of the Dividend, as you cut off Cyphers from th [...] Divisor, and divide the remaining Figures towards the Lef [...] hand by the remaining significant Figures of the Divisor.

Example.

Divide 42952 Square Poles of Land by 160, the Squar [...] Poles in an Acre of Land.

[...] Here the Cypher is cut off from the Divisor, and 2 from the Di­vidend; then I ask how oft 16 in 42; answer twice; then the 16's in 109, answer 9 times; the [...] 16's in 135, answer 8 times. So there are 268 Acres, and 7 re­mains that is in 268 Acres, 7/16 or 70/160 or almost Half an Acre.

[...]

In this Example, two Cy­phers are separated from the Divisor and also two Places from the Dividend, and then 62746 is divided only by 27. See the Work.

[Page 101]When the Divisor is 3, 4, 5, 6, or more Figures, there [...] a sure and easy Way of performing the Work truly, by making a Table of the Divisor; which may be done by Addition, or by multiplying the Divisor by 2, 3, 4, &c. [...]dmit you are to divide 987654321 by 123456.

[...]

Times  
1 123456
2 246912
3 370368
4 493824
5 617280
6 740736
7 864192
8 987648
9 1111104

Here having noted the [...]umber of Figures in the [...]ivisor, which here is 6, make a Point under the [...]xth Figure, or Place of [...] Dividend, &c.

The foregoing Table is made by doubling the first Line, [...]hich makes 246912; which added to the first or uppermost [...]ine gives the 3d Line 370368, which also added to the [...] first Line, makes 493824 for the 4th Line or Product; [...]nd so of the rest; still remembring to add the subsequent [...] or Product to the first or uppermost Line, till you come [...] the last Line of 9 times, which is 1111104; the Truth [...] which may be proved by multiplying the first or uppermost [...]ine by 2, 3, 4, 5, &c. and if you commit an Error by [...]ddition, it may be found or corrected by Multiplication.

The Use of the said Table.

When you have pointed out your Number of Places in [...] Dividend, cast your Eye on the Table, and at the first [...]iew you may know how many times you can take, as in [...]his Example, 7 times is too little, and 9 times too much; [...]herefore I set down 8 in the Quotient, and then multiply [...]nd substract, and the Remainder is 6; to which I bring [...]own 3, and put 0 in the Quotient, then to the 63, I bring [Page 102] down 2, and place 0 in the Quotient; then to 632 I bri [...] down 1, the last Figure of the Dividend: But still it [...] not bear any Times or Time, wherefore I put another 0 [...] the Quotient; and so the Work is done, and the Quotien [...] [...] [...]000, and the Remainder 6321 as in the Work.

Thus having plainly, fully, and pertinently shewn, [...] verbal Di [...]ections, the Method of Working Division; I thi [...] it unnecessary to give any more Examples in that Manne [...] but shall leave some few Examples for Practice sake, [...] Quotients and Remainders are expressed, but the Operat [...] omitted, to save Room, and for Trial of the Ingenuity [...] Practitioners.

7400690042 divided by 987, the Quotient is 749816 [...] and Remainder 200.

479679002742 divided by 4689, the Quotient is 102298 [...] and the Remainder 4566.

7969767002 divided by 976294, the Quotient is 8 [...]3 and the Remainder 279080.

456789012345, divided by 9876543, the Quotient [...] 46249, and the Remainder 8775138.

764697 by 4500 Quotes 16993, and Remainder 1249. [...] 8092320000 by 345000, quotes 23456, and remains [...]

The Proof of Multiplication and Division.

THese two Rules reciprocally prove each other; for [...] proving Multiplication, if you divide the Product [...] the Multiplier, the Quotient will be like the Multiplica [...] or if the Multiplicand, the Quotient will be the same [...] the Multiplier.

[...]

[Page 103]

To prove Division.

Division may be proved by Division thus:

If you divide the Dividend by the Quotient, the Quo­ [...]ient will be your former Divisor.

Example.

Divide 8280 by 345.

[...]

Here the Working again is needless, it being in the Page [...]oregoing; and shews the Truth of the Assertion, that Di­ [...]ision may be proved by Division, as aforesaid.

But the most usual Way of proving Division is by Multi­ [...]lication in this Manner, viz. multiply the Quotient by the Divisor, and the Product will be equal to the Dividend, [...]xample of 1, in the foregoing Page.

[...]

Note, That when there is any Remainder, such Remainder must be taken in or added to the Pro­duct.

As in Multiplication, I gave some Examples of its Utility [...] Money, so likewise I shall give a few Examples of Divi­ [...]on of Money; whereby may be seen how expeditiously [...]ome Things may be done, without having Recourse to Re­ [...]uction, the Rule of Three, &c. viz.

Example 1.

Divide 26 l. 12 s. 6 d. equally among Five Men. For Disposition of working, set it down as follows.

[...]

In the Working of this, I say, the 5's in 26, 5 times; 5 times 5 is 25, from 26, and there remains 1, or 1 Pound, or 20 Shillings; which with the 12 s. in the Place of Shillings, makes 32 s. then the 5's in 32, 6 times; 6 times 5 is 30, from 32, and [...]here remains 2 s. or 24 d. which with the 6 d. in the Place [...]f Pence, makes 30; then the 5's in 30, 6 times; and so [...]he Work is done, and the Answer is that each Man must [Page 104] have l. 5—00—6 for his equal Share [...] said Division l. 26—12—6 amongst 5 Persons; [...] the Truth of it proved by Multiplication of Money, [...] shewn the Rule of Multiplication; as here, 5 [...] 6 is 30; 6 [...]; and 5 times 6 is 30, and 2 is 32; 12 and carr [...] [...] 5 times 5 is 25, and 1 is 26, &c.

Example 2.

Divide the Charges of a Country Feast, amounting [...] l. 246—13—4 equally among 12 Stewards, to know wha [...] each Steward must pay.

[...]

Here I say the 12's in 2 twice, and the 12's in 6, [...] times, and there remains 6 [...] or 120 s. and 13 s. make 13 [...] and then 12's in 13 once, and there remains 1 s. or 12 d. the 12 and 4 is 16; and the 12's in 16 once, and 4 remains; [...] that each Steward must pay l. 20—11—1 4/2 or four Twelft [...] of a Penny, something more than a Farthing; and this ma [...] be proved as that above.

When any Quantity is such a Number that any two Di [...]gits of the Multiplication-Table, multiplied together, mak [...] the said Quantity or Number, then the Quotient may [...] very expeditiously found at two Divisions, and sooner tha [...] at one. Example: Divide 7872 by 32. In this Exampl [...] the Digits, component Parts, or Ratio's, which multiply' [...] together, make the Divisor 32, and 4 and 8, or 8 and 4 for it matters not which of the Ratio's you divide by first for either of which Divisions give a true, and the same Quotient; as may be seen by the different Methods of the following Work.

[...]

Here though the Operations are divers, yet the Quotient [...] are one and the same. Again, divide 44184 by 56.

[Page 105] Example 2.

[...]

Here the Divisors are 7 and 8, or 8 and 7▪ for either▪ [...] both, will give the same Quotient.

And thus may above Forty Examples be wrought by Numbers out of the Multiplication-Table, with great Dis­ [...]atch and Expedition, as by 15, 18, 25, 35, 64, 72, 96, &c.

When it happens there is any Remainder in the first Divi­ [...]on, or the last, or in both; to know the true Remainder as [...] you divided by the common Way, take this Method, viz. [...]ultiply the first Divisor by the last Remainder, and to take [...] in or add the first Remainder, if there be any, and the [...]roduct will be the true or same Remainder as if you divided [...] the long Way. Example: Divide 4567, by 15.

[...]

Here I multiply 3, the first Divisor, by 2, the last Remainder, and take in 1, the first Remainder, [...]nd it makes 7 for the true Remainder, as may be proved at Leisure, by the other Way.

The same Observation and Method must be taken with re­ [...]pect to component Parts mentioned before, in Division of Money, as in Divisio [...] of simple Numbers.

Example.

[...]

By this Method of Division of Money (if the Quantity be [...] aforesaid made by even component Parts) you may, by [...]aving the Price of several Things, know the Price or Va­lue [Page 106] of one Thing, at the said Rate, as well as by the Rul [...] of Three: So doth Multiplication of Money answer Questions [...] the Rule of Three, when the first Number is a Unit or One▪

Example by Division.

If 84 lb. of Coffee cost [...] what is that a lb?

As in the Multiplication of Money, to have an Answer, you multiply the Price by the Quantity, so in Division of Money, you divide the Price by the Quantity, to ha [...] your Answer.

I could speak more largely, if I had Room, of the e [...] ­cellent Uses that may be made of Multiplication and Div [...]sion only; but their various Uses will be better understood by their Application in the following Rules of Arithmetick particularly in the next Rule, call'd,

REDUCTION.

WHICH is an Application of Multiplication and Di [...]vision, shewing how to reduce Numbers of one De­nomination to another, thereby discovering the same Value▪ tho' in different Terms.

1. As first, All Great Names are brought into Smaller by Multiplication, as Pounds i [...]to Shillings, Pence, or Far­things, by multiplying 20, 12, and 4. Or Hundreds Weight into Pounds Weight, by multiplying by 4 and by 28, or by 112; or lower, into Ounces or Drams, by mul­tiplying by 16 and 16.

2. And on the contrary, All Small Names are brought into greater by Division; as Farthings into Pounds, by di­viding by 4, 12, and 20; and Pounds Weight into Hun­dreds Weight, by dividing by 28 and 4; and Drams into Pounds, by dividing by 16 and 16.

But you may Note, That Pounds only are brought into Pence, by multiplying by 240; or into Farthings, by mul­ [...]lying by 960; and just the contrary by Division.

And for Weight, as expressed above.

[Page 107]The Sense, Meaning and Use of Reduction, is expressed the following Verses.

Reduction shews how we of Names in Use,
May Great to Small, and Small to Great, reduce;
So that the Answer which shall thence arise,
The given Sum in Value equalize;
Multiply, or divide it, back you must;
Which makes again your given Number just.

Example 1.

[...]

Example 2.

[...]

These foregoing Examples are Great Names to be brought into Small (as may easily be observed and understood;) there­fore, as the first Rule directeth, it is done by Multiplication, by multiplying the greater Name by the Number of the next lesser Name that makes one of the said greater; as in the last Examples the lesser Name to Pounds is Shillings▪ [Page 108] wherefore I multiply by 20, because 20 of that lesser Name makes one of the said greater Name, i. e. 20 Shillings make a Pound. And the same Regard is had, and Method ob­served in the Example of Weight; as is very plain to be seen in the Work, and is called Reduction Descending, because it brings Higher or Greater Denominations into Lower or Lesser.

Example 3.

[...]

In the first Way, I divide the Farthings by 4, becaus [...] 4 of them make a Penny, and the Quotient is Pence; the [...] these Pence I divide by 12, because 12 of them make [...] Shilling, and that Quotient is Shillings; which Shillings [...] divide by 20, to bring it into Pounds, thus▪ I▪ cut off the Cypher in the Dividend towards the Right, for the Cyphe [...] that is in the Divisor 20, which is also separated from 2 with a Dash of the Pen, ( as may be seen in the Work) the [...] I halve the Figures one by one, as they are united with the Remainder in the Dividend; which Half is Pounds, and is a short Way of dividing by 20; in the Example I say, the Half of 10 (because I must not set down 0 at the Beginning is 5, and the Half of 3 is 1, and there remains 1; which makes the next, which is 0, 10; and the half of 10 is [...] So that 10300 Shillings makes 515 Pounds, or there are [...] many Pounds in 494400 Farthings

Note, In dividing by 20, as above, if any Thing re­mains it must be joined or annexed to the Figure or Cypher cut off; as suppose there had in halving the last Figure ex­cepting that you cut off, remained 1, which there doth ne­ver more, and then neither, but when the Figure halve [...] [Page 109] [...]; I say, if there had remained 1, then it must have been [...]ined to the Cypher separated or cut off, and then there [...]ould have been 10 Shillings.

Example 4.

[...]

In the first of the two foregoing Examples I divide the [...]ounds by 28 to bring them into Quarters; then I divide [...]ose Quarters by 4, to bring them into Hundreds Weight, [...] in the Work.

In the second Way, I divide the Pounds Weight by 112, [...] Pounds in a C. Weight, and it brings the Pounds Weight into Hundreds Weight at once.

The said Examples are of small Denominations to be [...]rought into greater; and therefore according to the se­ [...]ond Rule of Direction, it is done by Division, by dividing [...] lesser Name by as many of them as make the next [...]reater Name; that is, by 28, because 28 of them make one [...] the next greater Name, viz. a Quarter of a Hundred; [...]nd this Reduction is called Reduction Ascending, because it [...]rings low or small Names to higher or greater Denominati­ [...]ns.—By which may be observed, that all Questions in [...]eduction, whether Ascending or Descending, are answered [...]ither by Multiplication or Division, or by both; as will [...]lainly appear in the sundry [...]amples of Reducing of divers Denominations to others.

When it is required to redu [...]e Numbers of several Deno­ [...]inations by Reduction Descending, or by Multiplication, you [...]re to work as before; but you must always remember to [...]ake in such Numbers as stand [...] the Place of the next in­ferior [Page 110] Denomination; as when you multiply the Pounds by 20, if there be any Shillings in the Denomination or Plac [...] of Shillings, you must take them in. So likewise when you multiply the Shillings by 12, if there be any Pence in the Place of Pence, you must also take them in. And so when you multiply the Pence by 4, to bring them into Farthings you must take in the Farthings, if there be any, in [...]ne Place of Farthings, as in the following Work.

Example 5.

[...]

The Example is so plain in the Work that it hardly need [...] any Explanation; but I begin to say, 0 is 0, but 6 in the Units of Shillings is 6; then twice 6 is 12; and 1 in the Tens of Shillings is 13; 3 and carry 1; and twice 4 is 8, and 1 is 9; twice 3 is 6; then by 12, saying 12 times 6 is 72, and 9 d. (in the Place of Pence) is 81; 1 and carry 8? and 12 times 3 is 36, and 8 is 44; 4 and carry 4; and 12 times 9 is 108, and 4 is 112; 2 and carry 11; and 12 times 6 is 72, and 11 is 83, &c.

Example 6.

[...]

[Page 111]In the foregoing Work, I first multiply the 56 C. by 4▪ [...] take in the two Quarters; and then I multiply the 226 [...]. by 28, saying, 8 times 6 is 48, and 6 (the Unit Figure [...] the odd Pounds) 1 [...] 54; 4 and carry 5, &c. Then I [...]ultiply by 2, saying, twice 6 is 12, and 1 (that stands in [...] Place of Tens in the odd Pounds) is 13: 3 and carry 1, [...]c. Then adding the two Products together, they make [...]44 Pounds contained in 56 C. 2 qrs. 16 lb. as in the [...]ork is conspicuous. Or the Example may be sooner done [...] multiplying the 56 C. by 112, the Pounds in a C. Wt. [...] taking in the odd Weight, viz. 2 qrs. 16 lb. or 72 [...]ounds at once, thus:

[...]

I say here, 12 times 6 is 72; 2 and carry 7; and 12 times 5 is 60, and 7 is 67; then once 6 is 6, setting it down in the third Place, because by multiplying by 12 at once, two Places are taken up; See the Work.

Or, still briefer thus, by setting down the 56 C. four [...]veral times, in the following Manner; taking in the odd [...]eight, as before.

The same as above, viz. [...]

Reduction Ascending.

Is the bringing Numbers from a lesser Denomination to a [...]reater, and is the Reverse of Reduction Descending; and [...]ach may serve as a Proof to the other, one being per­ [...]ormed by Multiplication, and the other by Division.

And Note, That when at any Time in Reduction De­ [...]cending you take in, or add to, the odd Money, Weight, [...] Measure, as you multiply the several Denominations, such Quantities will be Remainders in Reduction Ascending.

[Page 112] Example by the two foregoing Sums.

[...]

So that in 332966 Farthings, there are 346 l. 16 s. 9 d. and is a sure Proof of the foregoing Work descending.

Again, in 6344 Pounds Weight, how many Hundre [...] Weight? [...]

So that in 6344 Pounds Weight, there is 56 C. 2 qrs. 16 and proves the foregoing Example descending to be right.

Now follow promiscuous Examples of both Kinds of R [...]duction, one proving the other.

[...]

In 47964 Grains how many Pounds Troy?

[...]

[Page 113]In [...] of Cotton Wool, how many Pounds?

In 456 C. 3 qrs. 27 lb. of Copper, how many Pounds? [...] what comes it to, at 21 d. per lb. [...] Pence; which bring into Pounds by Division, or Reduction Ascending, as before shewn, and it will amount to l. 4478: 10: 3.

Bring [...] Ells Flemish into Ells English; multiply by 3. and divide by 5, because 3 Quarters make an Ell Flemish, and 5 an Ell English.

Reduce 456 Ells English into Yards; multiply by 5, and [...]vide by 4, thus: [...]

[Page 114] [...]

And so the contrary by Division

[...]

Answer, 42 Lasts, 3 Quarters, 5 Bushels, and 2 Peck [...]

Thus by the two foregoing Examples it is seen, that [...] ­duction Ascending and Descending mutually prove each other as was said before; and is no more, than that Multiplicati [...] and Division prove one another.

By Reduction also,

Foreign Coins or Exchanges may be reduced to Sterli [...] Money; and on the contrary, Sterling Money to Foreign.

[Page 115] Example.

Reduce 246 Venetian Ducats de Banco into Sterling M [...] ­ [...]ey, the Exchange at 52 d. Sterling per Ducat, thus: [...]

To reduce Flemish Money into Sterling Money, divide [...] Pence Flemish by the Par of Exchange, viz. 33 s. 4 d. [...] the Quotient will be the Sterling Money; and what [...], multiply by 20, &c. Example.

[...]

[Page 116]By the Work it appears that 145 l. 12 s. Sterling [...] ­swers or is equivalent to 242 l. 13 s. 4 d. Flemish, [...] 4 d. Flemish, per Pound Sterling.

Thus Flemish Money may be reduced to Sterling Money, though the Par of Exchange be at any other [...] of Shil­lings and Pence Flemish; but when at the [...] above, viz. 33 s. 4 d. (the common Par) then the [...] sooner found by multiplying by 3, and dividing by [...] 400 d. Flemish is the same to 240 d. [...] Pound) as 3 is to 5; for if you divid [...] [...] by [...] quotes [...]0: So 400 divided by 5, quote [...] [...].

The foregoing Example done by the last proposed Way.

[...]

Note, French Mone [...] is reduced to Sterling, viz. Livre [...] Sols, and Deniers (or [...]rench Pence) as Sterling and Flemi [...] Money is by multiplying by 20 and by 1 [...]. Also Proclam [...]tion Money is reduced [...] Sterling, if you multiply by 3, an [...] divide by 4.

In 436 French [...], each 54 [...]. ¼ Sterling, how man [...] Pounds, &c. Sterling?

[...] In this Example, the Num [...]ber of Crowns is multiplie [...] by 54 d and for that I take [...] 4th Part of 246, which is 106 2/4 of a Penny, or [...] Half penny; which added [...] the other Pence, gives for [...] 23110 d. which divided [...] 12, quotes 1925, and [...] d. remains: so the Answe [...] [...] l. 5 s▪ [...] Answer l. 96: 5: 10 [...] Work.

Again, bring 1600 [...] or Eight [...] ▪ at 54 d. [...] into Pounds, &c. Sterling?

[...]

[Page 117]Here the 1600 Pieces of Eight are multiplied by 54, to bring them into Pence; and for the 2/ [...] I take the [...]/ [...] of 1600 twice, &c. as in the Work. And the Answer is l. 361: 13: 4.

This Method is of Use in reducing the Exchanges of Ca­diz, Leghorn, and Genoa. Or when the Exchange is at so many Pence, and Eighths of a Penny, (as often the Ex­changes run) then multiply the given Number to reduce it into Pence, by the Pence contained in a Piece of Eight; and also multiply the said given Number apart, by the Numera­tor or upper Figure of the Fraction, and divide by the [...]e­nominator, or under Figure of the Fraction, and the Quo­ [...]ient will be Pence; which add to the other Pence produced by multiplying the given Number by the Pence contained in one of the Pieces for Exchange; then divide the total Pence by 12, &c.

Example.

Bring 296 Dollars, at 52 d. [...]/8 Sterling ▪ into Pounds, &c. Sterling? [...]

[Page 118]But Ducats, Dollars, Crowns, Millreas, &c. are [...] expeditiously cast up by the Rules of Practice hereafter [...] be shewn.

And so much for Red [...]ction. The next Rule in Ari [...]metick is

The GOLDEN RULE: Or RULE of THREE.

IT is called the Golden Rule from its excellent Perform­ances in Arithmetick, as in other Parts also of Mathemical Learning.

And the Rule of Three, because from three Numbers given, proposed, or known, we find out a fourth Number required, or unknown, which bears such Proportion to the third at the second doth to the first Number. From whence also it is called, The Rule of Proportion.

And of this Proportion there are two sorts; one calle [...] Direct, and the other Indirect or Reverse.

Direct Proportion is, when the second and third Numbers are multiplied together, and their Product is divided by the first.

Indirect or Reverse Proportion is, when the first and se­cond Numbers are multiplied together, and their Product is divided by the first.

In Direct Proportion, the fourth Number, or Answer to the Question, contains the third Number as often (or as ma­ny times) as the second contains the first.

But in Indirect Proportion, the greater the third Number is, the less is the fourth; and the lesser the third Number is, the greater is the fourth.

The Stating the Question.

The chiefest Difficulty that occurs in the Rule of Three, is the right placing the Numbers, or s [...]ting the Question; for when that is done, you have nothing more to do, but to multiply and divide, and the Work is done.

And to this End, we are to remember, that of the three given Numbers, two of them are always of one Name or Denomination; and the other Number is ever of the same Name with the fourth Number or Answer required; and must always be the second or middle Number; and the Num­ber that asketh the Question, must still possess the third or last Place; and the other Number of the same Name with the third, must be the first Number; for, the first and third Numbers must always be of one Name, viz. both Money▪ [Page 119] both Weight, both Time, or both Measure. And though [...]ey be of one Kind, yet if one of them is altered, by Re­ [...]uction, from a high to a lower Name, then the other must [...] reduced to the same Name. For you must particularly note, That if either the first or third Numbers consist of se­veral Denominations, that is of Pounds and Shillings; or Pounds, Shillings, and Pence; or of Pounds, Shillings, Pence, and Farthings; or of Tons, Hundreds, Quarters and Pounds, &c. then must they be reduced to the lowest Name mentioned. And if one happen to be of divers Denominations, and the other but of one Name; then the Number of one Name must be reduced as low, or into the same Name with the other; as sup­ [...]ose the first Number is brought into Farthings, then the third Number, though but Pounds, must be brought into Farthings also. Then you are to multiply the second and third Numbers together (when the Proportion is Direct) and divide the Pro­duct by the first Number, and the Quotient thence arising will be the Answer to the Question, and in the same Nam [...] with the Middle Number: And if in a small D [...]nomination, it must be [...]rought by Division to the highest Name, for the better under­standing the Answer. You must also Note, That if the mid­dle Number be of several Denominations, it must be brought [...]nto the lowest mentioned.

Example 1.

If 12 Gallons of Brandy cost 4 l. 10 s. what will 134 Gallons cost at that Rate?

Stated for Working thus▪

[...]

Here the first and third Numbers are of like Names, viz. both Gallons; and 134 being the Number that asketh the Question, it hath the third Place, as it always must, as be­fore asserted; and 4 l. 10 s. the second Number, being of two Denominations, viz. Pounds and Shillings, it is re­duced into the lowest mentioned, viz. Shillings, as befo [...]e [Page 120] directed, and then the three Numbers are these, viz. 12—90—134; and 134 the third Number, being multi­plied by 90, the second Number, produces 12060; which divided by 12, the first Number, quotes 1005 Shillings, the Name of the middle Number 90; and 1005 Shillings, divided by 20, gives 50 l. 5 s. for the Answer; And for the Proof of its truth, state it back again thus: [...] (90 s. Answer, or 4 l. 10 s. the Cost of 12 Gallons, and is a sure Proof of the [...] Work; and the back stating and working the Proof is a much a Question in the Rule of Three as the first.

By the foregoing Rules and Directions, and these tw [...] Operations, you may understand the Nature of the [...] and Method of working, and with Ease and Certainty a [...]swer any Example proposed in the Rule of Three direct And therefore, I shall omit what I can of verbal Direction [...] and abate as much of Figure-Work as is consistent with Di [...]patch, and of not leaving the Work too obscure; to sav [...] Room, and not to be too prolix; and to this End I shall onl [...] give the Examples stated, and a little of the Work, and th [...] Answers to the Questions, leaving most of the Operations [...] be performed by the ingenious Practitioners.

Example 3.

If 56 lb. of Indigo cost 11 l. 4 s. what will 1008 lb cost at that Rate?

[...]

Example 4.

If half a C. Wt. of Rose Copper cost 4 l. 18 s. what Quantity will 14 s. buy at that Rate?

[...]

Example 5.

If 4 C. 3 qrs. of Sugar cost 5 l. 15 s. 7 d. what will Hogsheads come to, weighing 42 C. 1 qr. 14 l.

[Page 121] [...] 11 s. 1 d. And the Remainder 266; multiplied by 4, gives 1064; which also divided by the first Number 532, gives a Half-penny more; so the whole is 51 l. 11 s. 1 d. [...]/2.

Any of these Examples, or any other, may be proved by a Back-stating, according as the first Example was proved? And each Proof becomes another Question in the Rule of Three, as was said before.

Example 6.

If I have 50 l. a Year Salary, how much is due to me fo [...] 144 Days Service at that Rate?

[...]

In this Example, the Product of the third by the second Number is 7200; which divided by the first 365, (according to the Rule) quotes 19 Pounds, the Name of the middle Number, and there is a Remainder of 265; which multi­plied by 20 according to Reduction, and the Product [...] divided by 365, there comes out 14 Shillings; and yet [...] is a Remainder of 190, which multiplied by 12, [...] the Product divided by 365, gives 6 d. and there's a Remainder of 90; which multiplied by 4 (the last inferior Name) and divided by 365, yet it would not come to a Farthing more; so that the Answer is as above, 19—14—6 90/365.

You are to note always, That when any thing remains that is reducible to an inferior or lower Name; after multi­plied as above, it must continually be divided by the first Number.

Note also, when the first of the three given Numbers is an Unit, or One, the Work is performed, or Answer found by Multiplication.

Example 7.

If I am to give 17 s. for 1 lb. of Balladine Silk, what must I give for 264 lb. at [...]hat Rate?

[...]

Example 8.

If I buy 49 Bags of Hops, at 12 l. 12 s. 6 d. per Bag, what come they to at that Rate?

[Page 122] [...]

The foregoing Work is performed by the component Parts of Multiplication of Money, as taught in that Rule.

When the Th [...]rd or Last of the three given Numbers is an Unit or One, then the Work is performed by Division.

Example 9.

If 12 Ells of Holland cost 3 l. 6 s. what is the Price of 1 Ell at that Rate?

[...]

Example 10.

If 56 Yards of Broadcloth cost 40 l. 12 s. what comes [...] Yard to at that Rate?

[...]

This Example is wrought by Division of Money [...] by Component Parts; as before taught in the Rule of Division

Example 11.

If A owes B 296 l. 17 s. and compounds at 7 s. 6 d. it the Pound; what must B take for his Debt?

[...]

Example 12.

If a Gentleman hath an Estate of 500 l. a Year, [...] may he expend daily, and yet lay up 12 l. 15 s. per Month [...]

[Page 123]First multiply 12 l. 15 s. per 12, the Months in a Year, [...] it makes 153 l. which deducted from 500 l. the Re­ [...]ainder is 347 l. Then say, [...]

After you have reduced the Pounds into Shillings, which make 6940; you divide them by 365, and the Quotient is [...]9 s. per Day.

The Rule of Three Reverse, or of Indirect Proportion.

WHAT Indirect Proportion is, hath been hinted already.

In Direct Proportion, the Product of the First and Fourth Numbers, is equal to the Product of the Second and Third.

But in this Proportion, the Product of the Third and [...]ourth Numbers, is equal to the Product of the First and [...]econd.

The Method of stating any Question in this Rule, is the [...] with that of the Direct Rule.

For the First and third Numbers must be of one Name, [...] so reduced, as in that Rule; and the Number that moves [...] Question must possess the Third Place; and the Middle Number will be of the same Name with the Answer, as it [...] there.

To know when the Question belongs to the Direct, and when [...] the Reverse Rule.

When the Question is stated as abovesaid, consider whe­ [...]her the Answer to the Question ought to be more or less [...]han the Second Number; if more, then the lesser of the [...]irst and Third Numbers must be your Divisor.

But if Less, then the Bigger of the two extreme Num­ [...]ers must be your Divisor.

And if the First Number of the Three is your Divisor, [...]hen the Proportion is Direct; but if the last of the Three [...]iven Numbers is your Divisor, the Proportion is Indirect [...] Reverse.

Or without Regard, either to Direct, or Reverse:

  • If more is required, the Lesser is Divisor.
  • If less, the Greater is Divisor.

[Page] Example 1.

If 4 Men plain 250 Deal-boards in 6 Days? how many Men will plain them in 2 Days?

If 6 Days require 4 Men, what a Days? Answer 12 Men.

[...]

Example 2.

If a Board be 9 Inches Broad, how much in Length will make a Square Foot?

[...]

In this Example, the first and second Numbers are mu [...]tiplied together, (as they always must be) and their Produc [...] is divided by the Third; as in the Example above it, an [...] agreeable to the aforesaid Assertion; for in the first Example it is most certain, that 2 Days will require more Hands [...] perform the Work than 6 Days, therefore the Lesser of [...] extreme Numbers is the Divisor; and declares the Quotien [...] is in the Indirect Proportion.

Likewise in the Second Example, 9 Inches in Breadth must needs require more in Length to make a Foot, than 12 Inches in Breadth; wherefore it is in the same Proportion with the first Example, because the Divisor is the Third Number.

Example 3.

How many Pounds of Coffee, at 5 s. 9 d. per lb. is equivalent in Value with 246 Pounds of Tea, at 13 s. 4 d. per lb.

[...]

Here it is manifest that there must be more Pounds of the Coffee than the Tea; therefore 69 is the Divisor, which is the Third Number, &c.

[Page 125] Example 4.

How many Yards of Sarcenet, of 3 qrs. wide, will line [...] Yards of Cloth, of 8 qrs. wide?

[...]

Here the narrower the Silk the more in Length is requir'd.

Example 5.

If a Quartern Loaf weigh 4 lb. ½ when Wheat is 5 s. 6 d. [...] Bushel; what must it weigh when Wheat is 4 s. the Bushel?

[...]

Example 6.

If in 12 Months 100 l. Principal gain 5 l. Interest; what [...]ncipal will gain the same Interest in 5 Months?

[...]

The Double Rule of Three Direct.

[...]N this Rule there are Five Numbers given to find out a [...] Sixth, in Proportion to the Product of the Fourth and [...] Numbers, as the Third Number [...] to the Product [...] the First and Second Numbers.

Questions in this Kind of Proportion, are wrought either [...] two Operations in the Single Rule of Three Direct, or by [...] Rule composed of the Five given Numbers, and the one [...] be a Proof to the other; as may be seen in the Example [...].

[Page 126] Example 1.

If 100 Pounds Principal, in 12 Months, gain 5 Pound [...] Interest; what will 246 Pounds Principal gain in 7 Months

[...]

In the first Stating, the Answer is, that if [...]00 l. [...] 5 Pounds, the 246 l. will gain 12 Pounds 6 Shillings.

Then I say in the next Stating; If 12 Months gain 12 [...] 6 s. what will 7 Months gain? And the Answer of th [...] Work is, l. 7—3—6. And so much will 246 Pounds gai [...] in 7 Months, if 100 Pounds gain 5 Pounds in 12 Months.

You must particularly note▪ That in all Operations wher [...] the Answer to the Question is found by two Rules of Thre [...], the Answer of the first Stating is ever the middle Number of the second Stating or Work; as in the preceding Exam­ples is plainly seen.

[Page 127]The foregoing Question answered by a Rule compo [...] of the five given Numbers, thus: [...]

In this Work, in stating the Question, the first and fourth Numbers are made of one Name, and the second and fifth; then the two first Numbers are multiplied together for a Divisor, and the [...]ast three Numbers are multiplied together for a Dividend, and the Quotient or Answer as in the same Name with the middle Number, viz. Pounds Interest; as in the Work I find the first Quotient 7 Pounds Interest; and so I proceed from one Denomination to another, [...]ill I find the same Answer as in the Work at two Statings, viz l. 7—3—6.

This Method of Operation serves to answer all Questions [...] the Double Rule of Three Direct.

The Double Rule of Three Reverse.

IN this Rule you must place your Numbers in such Order, that your second and fourth Numbers may be of one Name or Denomination, and your third and fifth.

Example.

If 100 l. Principal, in 12 Months, gain 6 l. Interest; what Principal will gain 20 l. Interest in 8 Months?

[Page 128]Stated thus: [...]

In this Work, the third and fourth Numbers are multi­plied together for a Divisor; and then the first is multiplied by the second, and that Product by the fifth Number, an [...] the Product 24000 is divided by 48, and the Quotient [...] 500 l. Principal; which is what will gain 20 l. Interest, in 8 Months, and the Answer to the Question, as may be seen in the Work.

Rules of Practice.

THESE Rules are so called from their frequent Use and Brevity in casting up most Sorts of Goods in Merchandize.

Note, That any Question in the Rule of Three, when the first Number in Stating is 1, it is most briefly done by these Rules called Practice.

But previous to these Rules, it is necessary to have the following Tables by Heart.

Parts of a Shilling. Of a Pound. Parts of a Pound.
d.   s. d.  
6 is ½ 1/40 10 0 is ½
4 ⅓ 1/60 6 8
3 ¼ 1/80 5 0 ¼
2 ⅙ 1/120 4 0
1 ½ ⅓   3 4
1 1/12   2 6
    2 0 1/10
    1 8 1/12
    1 0 [...]/20

[Page 129] [...] Example 1.

Here 6 d. being the Price of each lb. and the Half of a [...]hilling; therefore the Half of 426 is taken, and gives [...]3 s. or 10 l. 13 s.

Example 2.

[...]

Here 4 d. is ⅓ of a Shilling; therefore the Third Part of [...]2 is 170 s. and ⅔ of a Shilling, or 8 d. remains.

Note, Always what remains is of the same Name with [...] Dividend, which here is Groats, for the Pounds of Cheese [...] at a Groat each.

Example 3.

[...]

Here the Yards are divided by 4▪ because 3 d. is the 4th [...] a Shilling; and it quotes 61 Shillings, and 2 remains, [...] two 3 Pences; so the Answer is l. 3—1—6.

And thus may any proposed Question be answered, [...] to the first Table, or Parts of a Shilling; that is, [...] dividing the given Number by the Denominator of the [...]ction, and the Quotient will always be Shillings, which [...] Remainders being known as above) bring into Pounds, [...] dividing by 20, &c.

When the Price of the Integer is at a Farthing, a Half- [...]nny, or three Farthings more than the Price of Pence men­ [...]ned, then for those Farthings take their even Part of the [...]egoing Quotient taken for the even Part of a Shilling, [...] add, &c.

[Page 130] Examples.

[...]

In this Example I divide by 3 for the Groats, as being the Third of one Shilling, and it quotes 83 s. then I con­sider that a Half-penny is the Eighth of 4 d. therefore I take the Eighth Part of the Groat Line, or 83 s. and that produces 10 s. and 3/ [...]; of a Shilling, or 4 d. ½; then the two Line being added together, make 93 s. 4 d. ½, or 4 l. 13 s. 4 d, [...] as in the Work.

[...]

Here the Half of 254 is taken, because 10 s. is the Hal [...] of a Pound.

[...]

Here the third Part is taken, because 6 s. 8 d. is the Third of a Pound; and the Answer is l. 324.

And thus may any Question proposed be answered be­longing to the second Table, or Parts of a Pound; that is by dividing the given Number by the Denominator of the Fraction, and the Quotient will always be Pounds; and if any thing remains, it is always so many Halves, Thirds, Fourths, or Fifths, &c. of a Pound, according to the De­nominator that you divide by.

If the Price be Shillings and Pence, or Shillings, Pence, and Farthings, and no even Part of a Pound; then multiply the given Number by the Shillings in the Price, and take even Parts for the Pence, or Pence and Farthings, and add the several Lines together, and they will be Shillings; which Shillings bring into Pounds, as before.

[Page 131] Examples.

[...]

When the Price is 10 d. only annex 0 to the Right of the given Number (which is multiplying by 10) and they are Pence; which divide by 12, and by 20.

Example; 426 lb. of Hops at 10 d. per lb.

[...]

When the Price is 11 d. set down the Quantity twice in the Form of Multiplication, and add the two Lines together, then divide by 12, and by 20. Example.

[...]

[Page 132]If the Price be 11 d. ½, take Half the uppermost Line, &c.

Example.

[...]

When the Price is 1 s. only divide by 20.

Example.

[...]

When the Price is 2 [...] [...]t is done at Sight, by doublin [...] the last Figure toward the Right-hand, and setting it apa [...] for Shillings; and the Figures toward the Left are Pounds.

Example.

[...] Here the Double of 6 is 12 s. and the 59 are Pounds.

From this Method of working by 2 s. a Multitude of Ex­amples may be most expeditiously wrought, viz.

  Ells. Yards.
  444 Cambrick. 426 at 3 s. 6 d
  —at 5 s. 9 d. per Yard,
  44—8 at 2 s. 42—12 at 2 s.
  44—8 at 2 s. 1 s. ½ 2 s. 21— 6 at 1 s.
1 s. ½ of 2 s. 22—4 at 1 s. 6 d. [...]/ [...] 1 s. 10—13 at 6 d.
6 d. ½ of 1 s. 11—2 at 6 d  
3 d. ½ of 6 d. 5—11 at 3 d. Answer. l. 74—11 at 3 s. 6 d.
Answer, 127—13— [...] [...]—9 d.  

The Operation of these two Examples is so intelligibl [...] wrought, that there is [...] [...]eed of verbal Explanation.

[Page 133] [...]

Note, That 13 l. 14 s. is the fourth Part of 54 l. 16 s, the two Shilling Lin [...].

Or multiply by 12 s. and take Half of the given Number for the 6 d. thus: [...]

When the Price is an even Number of Shillings, multi­ [...]ly the Number of Integers by Half the Price, and double [...] first Figure of the Product for Shillings, and carry as is [...]sual in Multiplication, and the other Figures towards the [...]eft will be Pounds.

Example.

[...]

Here 7 times 6 is 42; the Double of 2 s. is 4 s. &c.

When the Price is an odd Number of Shillings, work for [...] even Number as above; and for the odd Shillings, take [...] 1/20 of the given Number, and add them together.

Example.

[...]

[Page 134]In this Example I say, 8 times 6 is 48; the Double of 8 is 16 s. and carry 4, then 8 times 9 is 72, and 4 is 76; 6 and carry 7; and 8 times 4 is 32, and 7 is [...]9: then the Half of 4 is 2, &c.

Even Parts of a Pound.

[...]

In all these Examples of Practice, I divide by the Deno [...]minator of the Fraction, and what remains is always of th [...] same Name with the Denominator; as one Half, Third [...] Fourths, Sixths, or Eighths of a Shilling, or of a Pound [...] &c.

If the Price be Half a Crown, divide by 8; if at 20 [...] or 1 s. 8. divide by 12, &c.

When the Price is Shillings and Pence, and no even [...] of a Pound; multiply the given Number by the Shilling [...] and take Parts of it for the Pence, as directed before,

Example.

[...]

[Page 135]But this Example may be sooner done by multiplying [...] given Number by 2, and dividing that Product by 3 (be­ [...]use a Mark is two Thirds of a Pound) thus; [...]

I have not here Room to speak of the various and almost [...]finite Methods and Rules of Practice (having several other [...]bjects and Things to treat on) but shall leave some general [...]ules, which if [...]eedfully noted, will be of great Use to [...]earners; and are these, viz.

1. When the Price is Parts of a Farthing; or of a Penny▪ [...] ¾, ⅚, ⅞, &c. then multiply the Integers by the Numera­ [...]r, and divide by the Denominator, and the Result will be [...]ther Farthings or Pence; which reduce to Pounds, &c.

2. When the Price is Pence, and no even Part of a Shil­ [...]ng; as suppose 5 d. 7 d. 8 d. or 9 d. then it may be done [...] taking their Parts, as 3 d. and 2 d. is 5 d. and 4 d. and [...] d. is 7 d. and 4 d. and 4 d. is 8 d. and 6 d. and 3 d. is 9 d. [...] it is an easy and sure Way to multiply the given Number [...] 5, 7, 8, or 9, and then the Product is Pence; which [...]duce to Pounds by Reduction.

3. When the Price is Pence, and Parts of a Penny: as [...] d. ¼, 2 d. ½ or 6 ¾, then work for the Penny by taking the [...]; for 2 d. the ⅙; and for 6 d. the ½: Then for the [...]rthings, take the ¼ of the Penny Line, and for ½, ¼, of the [...]wo-penny Line; and for ¾, take ⅛ of the 6 Penny Line; [...] add their Results together; and the total will be Shil­ [...]ngs, which reduce to Pounds by dividing by 20. Or by [...] sure Way of bringing the mixt Number into the lowest [...]enomination; as 1 d. ¼, into 5 Farthings, 2 d. ½, into 5 [...]alfpence, and 6 d. ¾, into 27 Farthings; then multiply [...] Integers by 5, and the Product is Farthings; or by 5 [...]alfpence, and the Product will be Halfpence; or by 27 [...]arthings, and the Product will be Farthings; which, whe­ [...]er Farthings or Pence, reduce to Pounds, &c.

4. When the Price is Shillings and Pence, or Shillings, [...]ence, and Farthings, multiply the Integers by the Shillings [...] the Price, and take Parts for the Pence, or Pence and [...]arthings, &c,

[Page 136]5. If the Price be Pounds and Shillings, or Pounds, Sh [...]lings, Pence and Farthings; multiply by the Shillings in [...] Price, that is, in the Pounds and Shillings, and take Par [...] for the Pence and Farthings.

6. When the Number of Integers hath a Fraction annexed or belonging to them; as ¼, ½, ¾, &c. then take ¼, ½, or ¾ of the Price of one of the Integers, and add that to the other Results.

TARE and TRETT, &c.

Gross Weight is the Weight of the Goods in Hundred [...] Quarters and Pounds, with the Weight of the Hogshead [...] Cask, Chest, Bag, Bale, &c. that contains the Goods.

Tare is allowed to the Buyer for the Weight of the Hog­shead, Cask, Chest, Bag, Bale, &c.

Trett is an Allowance made for Waste, Dust, &c. in su­dry Sorts of Goods, as Tobaccoes, Cottons, Peppers, Spice, &c. and is always 4 lb. per 104 lb. Suttle, and found [...] dividing the Suttle Pounds by 26, because 4 times 26 mak [...] 104 lb. When the Gross Weight is brought into Pound [...] and before the Tare is deducted, they are called Poun [...] Gross; and after the Tare is substracted, the remainin [...] Pounds are called Pounds Suttle; which divided by 26 ( [...] said before) quotes Pounds Trett, &c.

Tare at so much per Cask, Hogshead, Bag, &c.

The Allowances for Tare are variously wrought; as by th [...] following Examples.

In 12 Casks of Indigo, containing 45 C. 1 qr. 14 lb. Gros [...] Tare 30 lb. per Cask, how many Pounds Nett?

[...]

In this Example, the lbs. Tare of one is multiplied by the Number of Casks, and the Product is 360 Pounds Tare and the Gross Weight is reduced into Pounds by the Meth [...] [Page 137] [...] in Reduction of Weight; and then the Pounds Tare [...] deducted from the Pounds Gross, and the Remainder are [...] Nett, viz. 4722, as in the Work.

When the Tare is at so much per C. wt. multiply the [...]mber of Hundreds by the Tare, and take Parts for the [...] Weight, and add it to the Tare found by Multiplica­ [...]n, and divide it by 112, to bring it into Gross Weight, [...] order for Substraction. Example.

What is the Nett Wt. of 12 Casks of Argol, Wt. Gross.

[...]

The Tare in the last Example is to be found by the fore­ [...]ng Directions, 10 C. 2 qrs. 8 lb. ¾, which substracted as [...]he Work, leaves 74 C. [...] qrs. 5 lb. ¼ for the Nett Wt.

[...]ut the foregoing Example may be sooner done by [...] thus: [...]

[...]n this Method, the Gross Weight is divided by 8, be­ [...]se 14 lb. is one Eighth of 112 lb. and the Remainder is [...] into the next inferior Name, and still divided by 8, [...] End, and then deducted as above, and the Nett [...]ight is the same as by the other Way. And so may any [...] per Ct. be found, if the Tare be an even Part of 112 lb. [...]4 is one Eighth, and 7 lb. is the Half of that, and 16 lb. [...]ne Seventh, and 8 lb. is Half of that, &c. that is, if [...] Tare be at 7 lb. per C. find it for 14 lb. as before, and [...] take the Half of that for 7 lb per C. Tare, the like for [Page 138] 8 lb. per C. Tare; take one Seventh for 16 lb. and then [...] Half of that for 8 lb. per C. Tare.

Of TRETT.

What Trett is, when allowed, and how found, hath been said already; now I shall give an Example for Explanation as follows.

Bought Six Hogsheads of Tobacco, containing Gross and Tare as follows; viz.

[...]

There are some few other Rules, such as Barter, or [...] changing Goods for Goods; also Exchange for Coin, Profi [...] Loss, &c. but all of them being done either by the Rule [...] Three, or by Rules of Practice, it is therefore here unne [...]cessary to enlarge upon them.

Of FRACTIONS Vulgar and Decimal.

WHAT Fractions are, hath already been hinted in th [...] Rule of Division, from whence they arise; for the Re [...]mainder is a supposed Part of the Divisor; as admit 54 l. [...] divided into twelve equal Parts, the Quotient is 4: and th [...] Remainder 6: So that here 6 is six Parts of 12, or [...] Twelfths, equal to a Half; for 6 is the ½ of 12; and set do [...] in this Form 6/12 and understood by these Names, [...]

[Page 139] [...]

The Numerator is above the short Line, and sheweth the Number of Parts; and the Denominator stands under the l [...]ne, and declares the Number of equal Parts the Integer or whole Number is divided into; as above 54 l, is divided into 12 Parts, and the Quotient says there are 4 of those 12 Parts contained in 54, and 6 remains, or 6 Twelfths of a Pound, or 10 s. as above said.

Fractions are thus set down and read, viz. ¼, or one Fourth; ½, one Half, ⅓, one Third, ⅕ one Fifth; ⅙, one Sixth; ⅔ two Thirds; 2/4, two Fourths; 2/6, two Sixths; 5/7, five Sevenths, &c.

Fractions are either proper or improper. A proper Frac­tion hath its Numerator less than the Denominator; as ⅝, five Eighths; 24/56, twenty-four Fifty-Sixths, &c.

An improper Fraction hath its Numerator greater than the Denominator; as 7/3, seven Thirds; 48/15, forty-eight Fifteenths, &c.

Again, Fractions are either Simple or Compound; simple, when Part of an Integer or Thing hath but one Numerator, and one Denominator; as ¾ of a Pound [...] ½ of a C. Weight, ⅔ of a Ton, ⅚ of a Gallon, &c. Compound▪ is a Fraction of a Fraction, as the ½ of a ¼ of a Pound Sterling [...]s equal to a Half a Crown; or when one is divided into any Number of Parts, and those Parts again subdivided in­to Parts, &c.

Fractions are of two Kinds, viz. Vulgar and Decimal. Vulgar Fractions are as declared before. Decimal Fractions are artificially expressed by setting down the Numerators only, the Denominators being understood, and are always a Unit with as many Cyphers annexed as there are Places in the Numerator, and therefore must be either 10, or some Power of 10, as 100, 1000, 10,000, or 100,000, &c.

Decimal Fractions appear as whole Numbers, (and in the general so wrought) but are distinguished from them by a Point or a Comma prefixed thus, ,5, and is read five Tenths; [...]32, thirty-two Hundredths; ,256, two Hundred 56 Thou­ [...]andths: But of Decimal Fractions and their Use hereafter.

Reduction of Vulgar Fractions, is to fit or prepare them [...]or Addition, Substraction, &c.

[Page 140]

1. To Reduce a mixt Number to [...]n i [...]proper Fraction.

Rule.

Multiply the Integer by the Denominator, and take the Numerator.

Example.

[...]

2. To reduce an improper Fraction to a whole or mixt Number.

Rule. Divide the Numerator by the Denominator.

Example.

Reduce the last Example to a whole or mixt Number, viz.

[...]

Here 12 Gallons is the whole Number, and ¾ the Fraction, the same with 3 Quarts.

3. To reduce Fractions to a common Denominator.

Rule.

Multiply the Numerator of each Fraction into all the De­nominators, e [...]ept its own, and the Product will be a Nu­merator to that Fraction; and then do so by the next, &c.

Example.

Reduce 2/ [...], and ⅚ of 20 [...] ▪ or any other Integer, or Thing, to a common Denominator; say twice 4 is 8, and 6 times 8 is 48, for a new Numerator to 2/ [...]; then say, 3 times 3 is 9, and 6 times 9 is 54▪ for a new Numerator to ¾; lastly, say, 5 times 4 is 20, and 3 times 20 is 60, the Numerator to 5/ [...] ▪ Then, to find the common Denominator, say 3 times 4 is 12, and 6 times 12 is 72, the common Denominator: So that 48/72 is equal to ⅔, 54/72 to ¾. and 60/72 to ⅚. And thus proved▪ [Page 141] [...]

Here the several Numerators are added together, and they make 162, which placed over the common Denominator 72, make the Improper Fraction 162/73; and its Value is found as before directed. To reduce an improper Fraction to a whole or mixt Number; as may be seen in the foregoing Page.

4 To reduce a Fraction into its lowest Terms.

Rule.

If there are even Numbers, take Half of the Numerator and Denominator as long as you can; and their divide them by any Digit Number ( i. e. 3, 4, 5, 6, &c.) that will leave no Remainder in either.

Example.

Reduce 56/84 into its lowest Terms; say, the ½ of 56 is 28, and the ½ of 84 is 42; and then, the ½ of 28 is 14, and the ½ of 42 is 21. So the Fraction 56/84 is reduced to 14/2 [...]. And since they both are not to be halved any longer; for though you can halve 14, yet you cannot 21, without Re­mainder; try therefore to divide them by some other Digit Number, and you will find, that 7 will divide both Nume­rator and Denominator without any Remainder; then say, the 7's in 14, twice; and the 7's in 21, three times: So is the Fraction 56/84 reduced into its lowest Terms, ⅔ two Thirds; and is the same in Value with 56/84, and done in this Form; [...]

And the Certainty that ⅔ is the same in Value with 56/ [...]4 is found by multiplying any Integer by the Numerator of each Fraction, and dividing by the Denominator of each Frac­tion.

[Page 142] Example.

Let the Integer be 1 l. Sterling, or 20 s.

[...]

Here it is manifest, that by working by a Fraction in it [...] lowest Terms, much Time and Figures are saved In one Operation, 20, the Integer, is multiplied by 2, and the Pro­duct 40 divided by 3, and there remains 1, or ⅓ of a Shil­ling, or a Groat, as in the other Work.

There are other Methods of reducing a Fraction into it [...] lowest Terms; but in my Opinion, none so ready as the foregoing.

5. To reduce a compound Fraction into a simple One of the same Value.

Rule. Multiply the Numerators together for a Numerator, and the Denominators together for a Denominator.

Example.

Reduce ⅔ of ¾ of ⅚ of a Pound Sterling into a simple Frac­tion. Say twice 3 is 6, and 5 times 6 is 30, the Numerator: Then 3 times 4 is 12: and 6 times 12 is 72, the Denomi­nator· So 30/72 of a Pound is equivalent to 2/6 of ¾ of 5/ [...] of a l. Thus proved, [...]/ [...] of a l. is 16 s. 8 d. and ¾ of ditto, or 16 s. 8 d. is 12 s. 6 d. and ⅔ of 12 s. and 6 d. in 8 s. 4 d. the Answer. And multiplying 20 by 30, and dividing by 72, gives the same Answer, as in the following Work is plain.

[Page 143] [...]

6. To find the Value of any Fraction, whether of Coins Weight or Measure.

Rule. Multiply the Integer by the Numerator, and di­vide by the Denominator; and if any Thing remains▪ mul­ [...]iply it by the Number of Units of the next inferior De­ [...]omination.

Example.

What is 30/72 of a Pound, or 20 s.? the foregoing Ex­ [...]mple of Proof to the Compound Fraction ⅔ of ¾ of ⅚, and [...]s it is worked there, it need not again be repeated.

Again, What is ⅚ of a Ton Weight?

[...]

[Page 144]Here the Integer 20 C. is multiplied by the Numerator 5, and the Product 100 divided by the Denominator 6, and the Remainder 4 is multiplied by the Parts of the next inferior Denomination, &c. and the Answer is 16 C. 2 qrs. 18 lb. 4/6 or ⅔ of a Pound Weight, as in the Work.

Addition of Vulgar Fractions.

IF the Fractions to be added have a common Denomina­tor, add the Numerators together for a Numerator, and place it over the common Denominator,

Example.

Add ⅖, ¾, and ⅘ of a Pound Sterling together. Say, 2 and 3 is 5, and 4 is 9, the Numerator; which place over 5, the common Denominator, thus, 9/5, and this im­proper [...] Fraction 9/5 is in Value 36 s. for 9 times 4 s. (the 5th of a Pound) is 36 s. thus: Here ⅘ is 16 s. I say the 5's in 9, once, and 4 remains, which is ⅘ of a Pound.

But if the Fractions to be added have unequal Denomina­tors, then they must be reduced to a common Denominator by a Rule before shewn, before Addition can be made; an [...] then proceed as above.

2. When mixt Numbers are to be added, work with th [...] fractional Parts as before, and carry the fractional Value [...] the whole Numbers,

Example.

Add 25 l. ¾ to 12 ¼, thus: [...]

Here 1 and 3, the Numerators, make 4; and 4/4 is 1, an [...] 2 is 3, and 5 makes 8; and 1 and 2 is 3, and the Answe [...] is 38.

Or they may be reduced to improper Fractions thus: [...]

Here the Numerators are added, and their Total is 15 [...] which divided by 4, the common Denominator, [...] 38 Pounds, the same Answer as above.

[Page 145]3. When Compound Fractions are to be added to Simple Ones, reduce the Compound Fraction to a Simple One, as [...]fore directed; and then proceed as above.

Example.

Add 2/ [...] and ⅜ to ½ of 2/4 of a Pound; thus, once 2 is 2, and [...]wice 4 is 8, the compound Fraction; then add, saying, 2 [...]nd 3 is 5, and 2 is ⅞, equal in Value to 17 s. [...] d.

Substraction of Vulgar Fractions.

IN this Rule, the Fractions must have a common Denomi­nator, or be reduced to one, before Deduction can be [...]ade.

Example.

What is the Difference between ¼ and ¾? Answer 2/4; and [...]roved by Addition; for ¼ and 2/4 makes ¾ or 3 Quarters.

Note, The Difference between the Numerators is the Dif­ [...]erence of the Fractions.

Again, from ¾ of a Pound, take 5/12; Here the Fractions [...]re to be reduced to a common Denominator; 36 the first Numerator, and 20 the second Numerator, and their Dif­ [...]erence is 16; and 48 is the common Denominator; so that [...]6/ [...]8, or ⅓ in its lowest Terms, is the Difference between ¾ of [...] Pound, and 5/12 of a Pound, that is, 6 s. 8 d.

To substract a Compound Fraction from a Simple one.

Rule. Reduce the Compound Fraction to a Simple One, [...]nd then work as before. Example.

From [...]3/1 [...] take ⅔ of 8/9; say twice 8 is 16, and 3 times 9 is [...]6/ [...]7, the Compound Fraction: Then 13/14 and 16/27 must be re­ [...]uced to a common Denominator, thus; 13 times 27 is 351, [...]he first Numerator; and 14 times 16 is 224, the second Nu­ [...]erator; and 14 times 27 is 378, the common Denominator. Then substract 224, the second Numerator, from 351, the [...]rst Numerator, and the Remainder is 127, which place over [...]78, the common Denominator, thus, 127/ [...]78 Answer.

When a Simple Fraction is to be deducted from a whole Number.

Rule. Substract the Numerator of the Fraction from the Denominator, and place the Remainder over the Denomi­ [...]ator, and carry 1 to substract from the whole Number, &c.

Example.

From 12 l. take ⅝ thus; say 5 (the Numerator) from 8 the Denominator) and there remains 3, which place over the De­ [...]ominator 8, thus, ⅜; then 1 from 12, and there remains 11; [...] the Answer is, l. 11 ⅜, or 11—7—6, as may be proved by whole Numbers.

[Page 146]

Multiplication of Vulgar Fractions.

Rule. MUltiply the Numerators into one another for a Numerator of the Product; and then do the same by the Denominators, for a Denominator of the Product

Example.

Multiply ¾ of a Pound, by ⅚ of ditto; say 3 times 5 is 15, the Numerator; and 4 times 6 is 24, the Denominator; so the Answer is 15/24, or in its lowest Terms ⅝.

You are to Note, That Multiplication in Fractions lessens the Product, tho' in whole Numbers it augments it; as above, ⅝ or 12 s. 6 d. is less than ⅚ or 16 s. 8 d. and also less than the other Fraction ¾ or 15 s. The Reason of which I have not here Room to insist on; but it is given in my Arithmetick in Multiplication of Vulgar Fractions; to which Book I refer the Reader for that, and sundry Enlargements in the several Rules in the Science of Arithmetick.

2. To multiply a whole Number by a Fraction.

Rule. Multiply the Integer by the Numerator of [...] Fraction, and place the Product over the Denominator.

Example.

Multiply 56 l, by ¾ [...]

This improper Fraction 168/4 reduced according to Rul [...] makes but 42 l. which is less than 56; and confirms wha [...] was before asserted, viz. that Multiplication of Fractio [...] lessens the Product, &c.

3. To multiply a Simple by a Compound Fraction.

Rule. Reduce the Compound Fraction to a Simple On [...] as before taught, and Work as above.

Example.

Multiply 6/8 of a Pound, by ⅔ of ¾ of a Pound: Say, [...] times 6 is 36, and 8 times 12 is 96 So that the Answer [...] 36/96, or 3/ [...] in its lowest Terms; equal to 7 s. 6 d.

Division of Vulgar Fractions.

Rule. MUltiply the Numerator of the Divisor into [...] Denominator of the Dividend, and the Pr [...]duct is the Denominator of the Quotient; and then [...] [Page 147] the Den [...]inator of the Divisor into the Numerator of [...] Dividend, and the Product will be the Numerator of the [...]uotient.

Example.

Divide 15/16 by ⅔; ⅔) 15/1 [...] (45/32 Quotient.

Here 16 multiplied by 2, gives 32; and 15 by 3, gives [...]5; so that the Quotient is 45/32, equal [...] 13/45, [...] [...]ork.

Again, Suppose 24/36 was divided by [...] Q [...]o [...]ient will be [...] equal to 1 Integer, or whole [...] And so any other [...]ample.

Reduction of Decim [...] Fractio [...]

WHAT a Decimal Fracti [...] [...] shewn. The next Step is [...] [...]action into a Decimal; which is no [...] at Discretion (that is, 2, [...] or [...] Nu­ [...]rator, and then divide it by the [...]

Example

Reduce ¾ of a Pound [...] [...] that is, 75 Hundre [...] [...] 3 qrs. [...] any Thing, whether [...] &c. being ¾ of 100; and so, 2 [...], Quarter of any Thing, [...] being [...] five [...] expresses the Half of any [...] ½ [...] 10.

[...]n Reduction of Decimals, so [...] a [...] or Cyphers must [...] the [...]imal, to supply [...] the [...]tient of [...] the Product of [...] Decimals.—In [...] [...]lways [...] so [...] Cyphers [...] you [...] the [...] Fraction, so [...] the [...]tient towards the [...] Places to point off, [...] by [...] 0 to the Left of the [...]

Example 2.

[...]educe 9 d. or 9/240 to the Decimal of a Pound Sterling, [Page 148] [...]

[...] i [...] but three Places in the Quotient viz. 375; and therefore I cannot point [...] 4 for the four Cyphers annexed [...] I prefix 0 to the Left of [...] 375, thus, 0375, and then i [...] is th [...] Deci­mal of 375 ten thousandth Parts [...] ▪ an In­teger in the Work.

The more Cyphers you [...], the nearer you bring [...] Decimal to the Truth· But in most Cases, four Cyphe [...] annexed is sufficient. But whe [...] [...] are to reduce ¼, ½, [...] ¾ (as above) of an Integer to [...] [...]ecimal, or any Number [...] Shillings to the Decimal of a [...], two Cyphers are [...]. One Example more [...] Example 3.

Reduce 3 Farthings to th [...] [...] of a Pound, tha [...] is 3/960 vulgarly, 960 Farthings being a [...] therefor [...] so expressed, and with the same [...] as [...] before 240 Pence being a Pound.

96|0) 300000|0 (,003125. The Work being perform [...] according to the Division, with two Cyphers prefix [...] quotes,, 003125, or 3125 Millionth Parts of a Pound by the same Method, the Vulgar Fraction of Weig [...] Measure, &c. are reduced to Decimals.

Example 4.

[...] is 12 [...] ▪ Weight [...] [...] The Remainder 48 is not [...] Notice, being less than [...] 10000th Part of an Unit, [...]

Example 5.

How is 73 Days brought to the Decimal of a Yea [...] garly thus expres [...]d 73/7 [...]5.

[...]

Here 565, the Days in a Y [...]ar, is divided by 10 [...] and the Quotients added toget [...]er, and they make 73 [...]

[Page 149]

Valuation of Decimals.

TO find the Value of a Decimal Fraction, whether of Coin, Weight, Measure, &c.

Rule. Multiply the Decimal given by the Units contained [...]ne of the next inferior Denomination, and point off as [...]ny Place from the Right-hand, as you have in your Deci­ [...]; so those Figures toward the Left of those pointed off, [...] Integers or whole Numbers; and those on the other [...] toward the Right-hand are Parts of 1 or Unity; that [...] so many Tenths, Hundredths, Thousandths, or Ten [...]ousandths of one of those Integers, whether a Pound, [...]hilling, or a Penny, &c. or of a Ton, a Hundred, a [...], or a Pound Weight, &c. and so of any other [...], of what Kind or Quality soever.

Examples.

[...] [...] the Example of Money, I multiply the Fraction by 20, [...] off 520 for the three Places in the Decimal, &c. [...] Answer is 9 s. 6 d. ¼▪

[...] Example of Weight, I proceed as in that of [...] [...]action being the same) but with different Respect [Page 150] to the inferior Denominations; and the Answer is 9 C. 2 qr [...] 2 lb. 240/1000 of a Pound Weight.

To find the Value of a Decimal in Money in a briefe Method, viz.

Rule. Always account the Double of the first Figure (to the Left-hand) for Shillings; and if the next to it is 5, reckon 1 s. and whatever is above 5, call every One Ten and the next Figure so many Ones as it contains, which [...] and Ones call Farthings; and for every 25, abate one▪ [...] admit the last Example of Money, viz. 476; the Double 4 is 8; and there being one five in 7, (the next Figure [...] reckon 1 s. more, which makes 9 s. and there being 2 i [...] above 5, they are to be accounted two Tens or 20; [...] with the next Figure 6 being so many Ones, make [...] Farthings; and abating 1 for 24, give 6 d. and almost▪ Farthing more, for the Fraction 960 Thousandths of a [...] wants but 40 of a Farthing.

Addition of Decimals.

IS the same in Practice as in whole Numbers; only in se [...]ting down, Care must be taken that the Decimal [...] stand respectively under their Parts; that is, Primes und [...] Primes, Seconds under Seconds, Thirds under Thirds, & [...] and the Integers stand as in whole Numbers.

Example.

[...]

Note, There must be as many Places pointed off, as [...] are in the biggest Number.

The casting up of the foregoing Examples is the same [...] Addition of one Denomination in whole Numbers: [...] To [...]al of the first (supposing them Pound [...] Sterling) is 4 [...] an [...], 705 Parts. The second is 1 l. and, 4760 Parts. [...] the third is 2 l. and, 14982 Parts.

[Page 151]

Substraction of Decimals.

THE Numbers must be placed as before in Addition, and then proceed as in Substraction of one Denomina­tion of Numbers.

Examples.

[...]

Multiplication of Decimals.

HERE the placing the Numbers and Operation is the very same as in Whole Numbers; and only remem­ber to point off towards the Right hand so many Places for Decimals as you have Decimal Places in both Multiplicand and Multiplier.

Examples.

[...]

Note, That where there are not a competent Number of [...]gures, or Places to point off, such Defect is supplied with [...]yhers to the Left-Hand; as in the 4th and 5th Examples, [...]cording to what was before hinted in reducing a Vulgar [...]action to a Decimal.

[Page 152]

Division of Decimals.

IS the same in Operation as in whole Numbers. The onl [...] Difficulty is to know how many Decimal Places to poin [...] off towards the Left-hand of the Quotient; to which End, remember this Rule; Observe how many Decimal Places there are both in the Divisor and Dividend, and note the Difference; and whatsoever it is, so many Places must [...] pointed off to the Right-hand of the Quotient.

Examples.

[...]

In this Example, the Dividend hath three Decimal Places more than the Divisor, wherefore I point off three Places to the Right-hand of the Quotient, viz. 818; so the Quotient is 1 Integer, and ,818 Parts.

[...]

Here the Difference between the Divisor and Dividend is three Places; as in the foregoing Ex­ample; therefore ,813 is pointed [...] the Decimal Fraction; and the Quotient is 2 Integers, and ,813 Thousandths of an In­teger, or 1.

Thus much for Fractions Vulgar and Decimal; whe [...] I have been as concise as possible, and worked with as mu [...] Plainness as I could invent.

[Page 153]

BOOK-KEEPING.

THE next Qualification to fit a Man for Business, af­ter Arithmetick, is the Art of Book Keeping, or Mer­ [...]hants Accompts, after the Italian Manner, by Way of Dou­ble Entry.

It is not without good Reason that most People of Busi­ness and Ingenuity, are desirous to be Masters of this Art; for if we consider the Satisfaction that naturally ariseth from [...] Account well kept; the Pleasure that accrues to a Person by seeing what he gains by each Species of Goods he deals [...], and his whole Profit by a Year's Trade; and thereby also to know the true State of his Affairs and Circumstances; [...] that he may, according to Discretion, retrench or enlarge his Expences, &c. as he shall think fit.

This Art of Book-Keeping, or Merchants Accompts, [...] [...]alked of by many, but truly understood but by very [...]: For every petty School-Master in any By-Corner, will be sure to have Merchants Accompts expressed on his Sign, as a principal Article of his Ability, in Teaching; though, strictly [...]peaking, for want of the Practical Part, knows hardly any Thing of the Matter, and consequently incapable of teach­ [...]ng it.

Instructions, Notes, Rules, and Directions for the right ordering and keeping Merchants Accompts, by the excellent Order of Charge and Discharge, com­monly called Debtor and Creditor.

Of the Books in Use.

THE Books of principal Use, are the Waste-Book, (or by some called the Memorial) Journal, and Leidger.

Waste-Book.

IN this Book must be daily written whatever occurs in the way of Trade; as buying, Selling, Receiving, Deli­vering, Bargaining, Shipping, &c. without Omission of any one Thing, either bought or sold, &c. as Money lent, or received at Interest. But not Money received or paid for Goods sold or bought at Times; for that will come of course, and must be entered into the Cash-Book, from whence it is posted into the Leidger.

The Waste-Book is ruled with one Marginal Line, and three Lines for Pounds, Shillings, and Pence, and the Day [Page 154] of the Month, and Year of our Lord, is inserted in the Middle of the Page. In this Book any One may write, and, on Occasion, any Thing may be blotted out, if not well [...]ntered, or any Error be made.

JOURNAL.

INTO this Book every Thing is posted out of the Waste-Book, but in other Terms, in a better Stile, and in a fairer Hand, without any Alteration of Cyphers or Figures; and every Parcel, one after another, promiscuously set with­out Intermission, to make the Book, or several Entries of it, of more Credit and Validity, in case of any Law Dis­pute, or any other Controversy that may happen between Merchant and Merchant. In this Book you are to distinguish the Debtor and Creditor (or in quainter Terms, the Debit and Credit.) And to this Book you must have Recourse for the Particulars of an Accompt, which in the Leidger are entered in Gross, that is, in one Line. In this Book also, the Day of the Month must be placed in the middle of the Page; and is ruled with double marginal Lines, for References to the Leidger; and with three Lines for l. s. d. as the Waste-Book.

Of the Leidger.

FROM the Journal or Day-Book (as derived from the French) all Matters or Things are posted into the Leid­ger, which by the Spaniards are called El Libro Grande, a [...] being the biggest Book, or Chief of Accompts. The Left-hand Side of this Book is the Debtor, and the Right the Cre­ditor; and the Numbers and Folios of each Side must be alike, as 45 Debtor, and also 45 Creditor. The Day of the Month (in this Book) by most is set in a narrow Column on the Left-hand, and the Month on the Left of that: But where I kept Books, the Number in the narrow Column referred to the Journal Page, and the Month and Day was placed in the broad Column, to the Right of that; and at the Head of each Folio is the Name of the Place of Residence, and the Year of our Lord; as thus:

London, Anno—1753.

But the examples of the several Books hereafter following▪ will make the foregoing Hints of them much more intelli­gible.—And as I am upon the Doctrine of Book-keeping I'll take this as an universal Text (for so it is) viz.

[Page 155]

All Things received, or the Receiver, are Debtors to the Delivered, or the Deliverer.
  Waste-Book Entry. London, January 1, 1753. l. s. d.
  Bought of William Wilkins, of Norton-Falgate, 120 Yards of white Sarcenet, at 2 s. 3 d. per Yard, to pay in two Months. 13 10  
  The Journal Entry of the same.      
1 2 Wrought Silk, Debtor to William Wilkins, l. 13—10 for 120 Yards of white Sarcenet, at 2 s. 3 d. per Yard, to pay in two Months. 13 109  
  In this Example, the Account of Wrought Silks is the Receiver, and therefore Debtor to William Wilkins the Deliverer.      
  Again, Waste-Entry Book. January 4.      
  Sold Henry Hartington 246lb. nett of Indico Lahore, at 6 s. 6 d. per lb. to pay in 3 Months. 79 19  
  Journal Entry.      
3 4 Henry Hartington Dr. to Indico, for 246lb. nett, at 6 s. 6 d. per lb. to pay in 3 Months. 79 19  
  Once more. Waste-Book Entry.      
  Bought of George Goodinch, Sen. viz. Ch [...]sh. Cheese 430 C. ½, at 23 s. 4 d. per C. — l. 502—5      
  Butter, 50 Firkins, qt. nett 2800lb. at 3 d. per lb to pay in 6 Months. 35—0 537 05  
  Journal Entry.      
5 Sundry Accounts Dr. to Geo. Goodinch. l. 537—05—viz.      
4 Cheese of Cheshire, for 430 C. ½ 23 s. 4 d. per C l. 502—5      
5 Butter, for 50 Firkins, qt. nett 2800lb. at 3 d per lb. 35—0 537 05  
[Page 156] Waste-Book. l.   d.
  Sold James Jenkins, viz. White Sarcenet 50 Yards, at 3 s. per Yard 7 10 0      
  Indico Lahore 50 Pounds, at 7 s. per Pound. 17 10 0 25    
  Journal Entry of the last.      
6 James Jenkins Debtor to sundry Ac­counts, viz.      
7 To white Sarcenet for 50 Yards, at 3 s. per Yard — 7 10 0      
8 To Indico Lahore for 50 lb. at 7 s. per lb. 17 10 0 25    

From these few Examples of Entry, it may be observed, that an experienced Person in Accompts, and a good Writer, may keep a Journal without a Waste-Book, or a Waste-Book without a Journal, since they both import one and the same Thing, though they differ a little in. Words, or expressing; for the Leaves of both are numbered by Pages, or Parcels, as some do.

But however, I shall give Methods of keeping each as far as Room will give me Leave.

(1) The Waste-Book.
London, January 1.—1753.
An Inventary of all my Effects of Money, Goods, and Debts, belonging to me A. B. of London, Merchant, viz.
In Cash for trading Occasions 3500,—,—      
In Tobacco 4726 lb. at 9 d. per lb. 177, 4, 6      
In Broadcloth 6 Pieces, at 50 s. per Piece— 15,—,—      
Dowlas 1000 Ells, at 2 s. 4 d. per Ell— 116, 13, 4,      
Canary Wines, 9 Pipes, at 20 l per Pipe— 270,—,—      
Due to me from Henry Bland, per Bond— 60,—,— 4138 17 10

[Page 157]

(1)
Journal. Inventary, &c. as above. l. s. d.
1 Sundry Acc t•. Dr. to Stock—4138, 17, 10 viz.      
  1 Cash for trading Occasions — 3500,—,—      
    Tobaccoes 4626 l. at 9 d. per lb. — 177, 4, 6      
  1 Broadcloths, 6 Pieces, at 50 s. per Piece — 15,—,—      
  1 Dowlas 1000 Ells, at 2 s. 4 d. per Ell — 116, 13, 4      
  1 Canary Wines 9 Pipes, at 30 l. per Pipe — 270,—,—      
  3 Henry Bland due on Bond 68,—,— 4138 17 10

I shall make one Page serve for Wast [...] Book and Journal Entries, to save Room, and also to have both Methods of Entry under Eye, to make them more intelligibly useful to the Reader, he hereby being not obliged to turn over Leaf to see their Difference of Entry.

1 Waste-Book.
London, January 1, — 1753.
  Owing to William Webb, by Note of my Hand — 50— l. s. d.
  Ditto to Roger Ruff, to Bal­lance of his Account — 16 12 4      
  Ditto to Henry Hern, due the 4th of May next — 62—      
    128 12 4
  Journal.      
1 Stock Debtor to sundry Accounts, l. 128—12—4 — viz.      
3 To William Webb, by Note of my Hand — 50—      
4 To Roger Ruff for Ballance of his Account — 16 12 4      
5 To Henry Hern, due the 4th of May next — 62—      
    [...]78    

[Page 158]

Waste-Book.
London, Feb. 2 d. — 1753.
  Sold Thomas Townsend, viz. l. s. d.
  246 lb. of Virginia Cut To­bacco, at 14 d. per lb. 14 07 —      
  460 Ells of Dowlas, at 3 s. per Ell — 69 —      
    83 07  
  Feb. 2. Journal.      
6 Thomas Townsend, Debtor to Sundries, viz.      
1 To Tobacco, for 246 lb. at 14 d. per lb. — 14 07 —      
1 To Dowlas, for 460 Ells, at 3 s. per Ell. — 69 —      
    83 07  
  Waste-Book. Ditto 24th.      
  Bought of Leonard Legg, 4 Pipes of Canary, at 28 l. per Pipe. — To pay in 6 Months. 112    
  Ditto 24th. Journal.      
1 2 Canary Wine, Debtor to Leonard Legg, for 4 Pipes, at 28 l. per Pipe. — To pay in 6 Months. 112    

The short Lines ruled against the Journal Entries are, or may be, termed Posting Lines, and the Figure on Top of the Lines denotes the Folio of the Leidger where the Debtor is entered; and the Figure under the Line shews the Folio of the Leidger where the Credit is entered; and the other smaller Figures against the sundry Debtors, or sundry Creditors (whether Goods or Persons) shew also in what Folios of the Leidger they are posted. And the Figures in the narrow Column towards the Left-hand of the Pounds, Shillings, and Pence Lines, direct to the Folio in the Leidger where the Debit or Credit is posted, that is, to the [Page 159] Accompt of Goods, or of the Person immediately following the Words To or By; the first being proper to the Left or Debit Side in the Leidger; and the other used always on the Right or Credit Side of the Folio's in the Leidger.

There are several other Books used by Merchants besides those three before-mentioned; as the Cash-Book, which is ruled as the Leidger, and folio'd likewise, wherein all Receipts of Money are entered on the Left-hand Folio, and Payments on the Right; specifying in every Entry the Day of the Month (the Year being set on the Top) for what, and for whose Account the Money was received, or paid; and the Total Debit or Credit of each Side is to be posted into the Leidger, to the Account of Cash therein, in one Line of either Side, viz. to or by sundry Accompts, as per Cash-Book, Folio, &c. which is to be done once a Month, or at Discretion; and the Particulars of each Side, Article by Article, are to be posted into the Leidger to the proper Ac­compts unto which they belong; with References in the Cash-Book to the several Folio's in the Leidger; and carry the Ballance over Leaf in the Cash Book; by which you may know at any time what Cash you have, or ought to have, [...] you.

Another Book, is a Book of Charges of Merchandize, wherein is to be entered the Custom and petty Charges of any shipp'd Goods; as Porterage, Wharfage, Warehouse room, &c. and once a Month is transferred into the Cash Book on [...]he Credit Side, making Reference to the Book of Charges of Merchandize; and likewise the same in the Debtor Side [...]f the same Accompt in the Leidger for the Particulars [...]hereof.

The next Book I shall name, is the Invoice Book, or Book of Factories: In this Book is to be copied all Invoices or Cargaisons of Goods shipped, either for Accompts pro­per or partable; and also of Goods received from Abroad, which must always be entered on the Left-side, leaving the Right-side Blank; and on the Advice of the Disposal of Goods sent Abroad, and also on the Sale of Goods receiv'd from Abroad, enter them on the Blank or Right-side; so that [...] first View may be seen how the Accompt stands, &c.

The next a Bill-Book, wherein is enter'd Bills of Ex­ [...]hange accepted, and when they become due; and when [...]aid, made so in the Margin.

[Page 160]The next is a Book of Houshold Expences, for the Monthly Charge spent in House-keeping; likewise Apparel, House-rent, Servants Wages, and Pocket Expences; and this may be monthly summed up, and carried to the Credit of Cash.

Besides the above mentioned, there must be a Book to copy all Letters sent Abroad, or beyond the Seas; wherein the Name of the Person or Persons to whom the Letter is sent, must be written pretty full, for the readier finding the same.

The next is (and what is very necessary) a Receipt Book, wherein is given Receipts for Money paid, and expressed for whose Accompt or Use, or for what it is received; to which the receiving Person must set his Name for himself, or some other, with the Year and Day of the Month on the Top.

Lastly, A note or Memorandum Book, to minute down Affairs that occur, for the better Help of Memory; and is of great Use where there is Multiplicity of Business.

Having given an Account of the several Books, and their Use, the next Thing necessary will be, to give some few Rules of Aid to enable the Book-keeper to make proper Entries; and to distinguish the several Debtors and Creditors, viz.

First, For Money received make Cash Dr. to the Party that paid it (if for his own Account) and the Party Cr.

Secondly, Money paid make the Receiver Dr. (if for his own Accompt) and Cash Cr.

Thirdly, Goods bought for ready Money, make the Goods Dr. to Cash, and Cash Cr. by the Goods.

Fourthly, Goods sold for ready Money, just the contrary, i. e. Cash Dr. and the Goods Cr.

Fifthly, Goods bought at Time; Goods bought are Dr. to the Seller of them, and the Seller Cr. by the Goods.

Sixthly, Goods sold at Time, just the contrary, i. e. the Party that bought them is Dr. to the Goods, and the Goods Cr. by the Party.

Seventhly, Goods bought Part for ready Money, and the rest at Time. First, make the Goods Dr. to the Party for the Whole. Secondly, make the Party Dr▪ to Cash for the Mo­ney paid him in Part of those Goods.

Eighthly, Goods sold, Part for ready Money, and the rest at Time. First, make the Party Dr. to the Goods for the whole. Secondly, Cash Dr. to the Party received of him in Part of those Goods. —Or either of these two last [Page 161] Rules may be made Dr. to Sundries; as Goods bought, Dr. to the selling Man for so much as is left unpaid, and to Cash for so much paid in ready Money. And so on the contrary for Goods sold.

Ninthly, When you pay Money before it is due, and are to have Discount allowed you, make the Person Dr. to Cash [...]or so much as you pay him, and to Profit and Loss for the Discount; or make the receiving Man Dr. to Sundries as before.

Profit and Loss is Dr.

To Cash for what Money you p [...]y and have nothing for it, as Discount of Money paid you before due, and to Abate­ment by Composition, Houshold Expences, &c.

Per Contra Dr.

By Cash for all you receive, and deliver nothing for it; as Discount for prompt Payment, any Legacy left you, Money received with an Apprentice, and by the Profit of every par­ticular Commodity you deal in, by Ships, in Company, by Voyages, &c.

To ballance or clear an Account when full written.

1. FIRST, if the Dr. Side be more than the Credit, make the Old Accompt Cr. by the New; and if the contrary, make the new Accompt Dr. to the Old: But if the Debtor Side be less than the Credit, then make the Old Ac­compt Dr. to the New, and the New Accomp [...] Cr. by the Old, for such a Rest or Sum as you shall find in the Accompt.

2. An Accompt of Company, wherein you have placed more received of another than his Stock; then add as much on the Debit Side as you find on the Credit Side; to the End that, in the new Accompt, you may have so much Debit as you put in, and so much Credit as you have received.

3. In Accompts of Merchandize, you must enter the Gain, or Loss, before you make the Old Accompt Cr. by the New, and the New Dr. to the Old, for the Remainder of Goods [...] sold.

4. In the Foreign Accompts, which you are to keep with [...] double Margin, or Column, for Dollars, for Crowns, or [...]ny Foreign Coins whatsoever, which have been received or [...]aid by Bills of Exchange for Goods sold by Factors or Cor­respondents, [Page 162] or bought by them for the Accompts before here you must first balance the said inward Margin of Dol­lars, Crowns, &c.

To remove an Account full written to another Folio.

Sum or add up, the Dr. and Cr. Sides, and see the Dif­ference, which place to its opposite; as, admit the Cr. Side exceeds the Dr. then you are to write the Line in the Old Accompt to balance on the Dr. Side, to answer the Line on the Cr. Side of the New Accompt.

How to balance at the Year's End, and thereby to know the State of your Affairs and Circumstances.

YOU must make Accompt of Balance on the next void Leaf or Folio of your Leidger to your other Accompts; but after so done, do not venture to draw out the Accompt of Balance in the said Folio, till you have made it exact on a Sheet of Paper, ruled and titled for that Purpose; because of Mistakes or Errors that may occur or happen in the Course of balancing your Leidger; which are to be rectified, and will cause Erasements or Alterations in that Accompt, which ought to be very fair and exact; and after you have made it to bear in the said Sheet, copy fair the said Accompt or Balance in the Leidger.

The Rules for Balancing are these, viz.

1 st, Even your Accompt of Cash, and bear the Nett Res [...] to balance Dr.

2 dly, Cast up all your Goods bought, and those sold, o [...] what kind soever, in each Accompt of Goods; and see whe­ther all Goods bought, be sold or not; and if any remain unsold, value them as they cost you, or according to the present Market Price, ready Money; and bear the Nett Re [...] to balance Dr.

3 dly, See what your Goods or Wares severally cost, and also how much they were sold for, and bear the Nett Gain or Loss to the Accompt of Profit and Loss.

4 thly, Even all your Drs. and all your Crs. in order as they lie, and bear the Nett Rest of every Dr. and Cr. to Balance.

5 thly, Even your Voyages, your Factors Accompts, wherein is either Gain or Loss, and bear the Nett Gain or Loss to the Accompt of Profit and Loss, and the Goods un­sold to Balance.

[Page 163]6 thly, Even the Accompt of Profit and Loss, and bear the Nett Rest to Stock or Capital, as an Advance to your Stock or Capital.

7 thly, Even your Stock, and bear the Nett Rest to ba­lance Cr.

Then cast up the Dr. and Cr. Sides of your Balance; and if they come out both alike, then are your Accompts well kept; otherwise you must find out your Error by pricking over your Books again, to see whether you have entered every Dr. and Cr. in the Leidger as you ought.

Note, By pricking over the Book is meant, an Examining every Article of the Journal, against the Leidger, and mark­ing it thus,—or thus †; and upon the second Examination thus ‡ and upon a third Examination thus ‖; or any other Mark.

Note also, in all Accompts of Goods, you must keep a Co­lumn in the Middle of the Leaf, of each Side, for Number, Weight or Measure.

And also Note, That the Money, Wares, or Goods remain­ing in your Hands, and the Debts owing to you, must ever ba­lance with the Nett Stock and Debts owing by you.

Though all that hath been said in relation to Book-keep­ing, and the several Rules thereunto belonging, may seem a little abstruse to the altogether Unlearned therein, yet there is no such mighty Difficulty to instruct them as they may ima­gine▪ for these following Hints may render what hath been already said intelligible to an ordinary Capacity.

1 st, Stick close to the Text, or general Rule beforemen­tioned, viz. That all Things received, or the Receiver, are Debtor to all Things delivered, or the Deliverer; for this Rule holds good in all Cases.

2 dly, When the Dr. (whether Person or Goods) is known, the Cr. is easily understood, without mentioning it: For if A be Dr. to B, then B is Cr. by A, for what Sum soever it be; also, if Goods be Dr. to C. then C is Cr. by those Goods for the Sum they amount to—This I mention, because that most Authors (if not all) that I have met with on the Subject of Book-keeping, spend a great many Words, which I think (begging their Pardon if I err) might be saved, in declaring the Creditor, as well as shewing the Debtor, when it may be understood, as aforesaid.

3 dly, This Art of Italian Book-keeping, is called Book-keeping by double Entry, because there must be two Entries; [Page 164] the first being a Charging of a Person, Money, or Goods; and the second a Discharging of a Person, Money or Goods.

4 thly, Strictly note, That if the first Entry be on the Dr. or Left-hand Side of your Leidger; the next or second Entry, must always be made on the Right or Credit Side of your Leidger; for when ever one Person or Thing is charged, then always another Person or Thing is discharged for the Sum, let it be what it will.

And so it is on balancing or evening an Accompt, and car­rying it to another Folio; for if the old Accompt be evened by Balance on the Credit Side, then the new Accompt must be debited or charged on the Debit Side, for the Sum that balanced the old Accompt.

Much more might be said to this Art of Book-keeping, if I had Room; but I have plainly spoke to the principal Fun­damentals thereof, which I hope may be sufficient for the Instruction and Improvement of any intelligent Reader.

The next Matter I shall go upon, is to shew, or give Ex­amples of various Kinds of Receipts and promissory Notes; also Bills of Parcels in different Trades; likewise Bills of Book-Debts, Bills of Exchange, with Remarks on them; and some other Precedents of Writings in Trade and mer­cantile Affairs▪

And first of Receipts of different Forms.

  l. s. d.
REceived, September 23, 1752, of Mr. Anthony Archer, the Sum of Six Pounds, Nine Shillings, on Account for my Master Bryan Murray, per me 6 09 00
Caleb Catchmoney.      
London, September 23, 1752.      
REceived of Mr. Kendrick Keeptouch, Ten Pounds Eleven Shillings and Six Pence, in full, per me 10 11 06
Henry Hasty.      

Note, the Sum received must always be expressed in [...] at Length, and not in Figures, in the Body of a Receipt; bu [...] may and ought to be expressed in Figures behind a Brace ( [...] the two foregoing Examples, or under the Left-hand [...] the Receipt, as in the following) as well as in the Body of [...] Receipt.

[Page 165]When a Receipt is given in a Book, there is no Occasion to mention the Man's Name of whom you receive the Money; because that is implied, he being the Owner of the Book.

A Receipt in Part of Goods sold.

REceived the 24th of September, 1752, of Mr. Timothy Trustlittle, Fifty Pounds in Part of Indico sold him the the 22d Instant per me £.50—00—0

Lawrence Lovemoney.

A Receipt given in a Receipt Book.

REceived the 26th of September, 1753, the Sum of Forty-five Pounds, by the Order, and for the Accompt of George Greedy, Esq per £.45—0—0

Timothy Trusty.

REceived the 27th of September, 1753, of Mr. Daniel Davenport, and Company, One Hundred Pounds, on Accompt of Self and Partner, per £.100—0—0

James Jenkins.

REceived of Mr. Timothy Tennant this 25th D [...]y of Oc­tober, 1753, Six Pounds, for a Quarter's Rent, due at Michaelmas last, for my Master Lancelot Letfarm, per me £.6—0—0

Francis Faithful.

REceived August 14, 1753, of Mr. Peter [...]ish [...]p, Twenty-nine Pounds Six Shillings, in Part of a Bill of Sixty Pounds, due the 3d of Xber next, to Mr. Samps [...]n [...]huffle, per £.29—6—0

Francis Fidal.

A Receipt on the Back of a Bill of Exchange.

SEptember 30th, 1753, received the full Contents of the within mentioned, being 500 Pieces of [...]ight, per

Nathaniel Needy.

Promissory Notes.

I Promise to pay to Mr. Timothy Teazer, Sixty Sounds, on the 20th of this Instant September; witness my Hand this 15th of September, Anno 1741. £.60—00—00

Daniel Dilatory.

I Promise to pay to Mr. Christopher Cash, or his Order, five Pounds for Value received; witness my Hand this 26th Day of October, 1753. £.5—00—00

Robin Ruck
[Page 166]

A Note given by Two.

WE, or either of us, promise to pay to Mr. Matthew Mistrust, or his Order, Six Pounds Sterling, on De­mand, for Value received: Witness our Hands this 27th of September ▪ 1753. £6—00—00

Witness, Nicholas Notice.

  • Nathan Needy,
  • Samuel Surety.

A Bill of Debt.

MEmorandum, That I William Want, of London, Wea­ver, do owe and am indebted unto Mr. Timothy Trust, of Westminster, Watchmaker, the Sum of Twenty five Pounds Six Shillings of lawful Money of Great-Britain; which Sum I promise to pay to the said Timothy Trust, his Executors, Administrators, or Assigns, on or before the 10th Day of December next ensuing. Witness my Hand this 22d Day of October, 1753.

Witness, Titus Testis.

William Want.

A Bill of Parcels.

IT is usual when Goods are sold, for the Seller to deliver to the Buyer, with the Goods, a Bill of Parcels; which is a Note of their Contents and Prices, with a Total of their Value cast up, &c.—These Bills ought to be handsomely writ, and in methodical Order, according to the best and customary Way of each particular Trade.

I shall therefore shew [...] of Bills of Parcels in some Trades and [...] shortest Methods of casting up the several [...].

[...] Bill.

Bought of [...]. Burdett, viz.

  • 12 Yds ¾ of [...], at 12 s. 6 d. per Yd.
  • 8 Yds of [...] 6 s. 3 d. per Yd.
  • 5 Yds ¼ of [...] ▪ 8 d. per Yd.
  • 6 Yds of [...] 2 d. per Yd.
  • 17 Yds ½ of [...], at 3 s. 4 d. per Yd.
  • 16—7—8

Sometimes the Money is [...] [...]resently, then the Receip [...] is made as follows.

[Page 167]REceived the 26th of September, 1753, Sixteen Pounds, seven Shillings, and eight Pence, in full of this Bill, for my Master Abel Atlas, and Company, per me

Francis Fairspoken.

A Woollen Draper's Bill. London, September 24, 1753.

Bought of Benjamin Broadcloth, 22d of September 1753. viz.

  s. d.  
7 Yards of fine Spanish Black, at 18 4 per Yd.
5 Yds ½ of Ditto, at 12 4 ditto.
6 Yds ¾ of fine mixt Cloth, at 15 9 ditto.
16 Yds ¾ of Frize, at 3 6 ditto.
4 Yds of Drap-de-berry, at 13 5 ditto.
5 Yds ⅞ of superfine Spanish Cloth, at 18 10 ditto,

A Linnen Draper's Bill, September 26, 1753.

Bought of Marmaduke Muslin, viz.

  • 16 Ells of Dowlas, at 1 s. 4 d. per Ell.
  • 14 Ells of Lockram, at 1 s. 3 d. per Ell.
  • 22 Ells ½ of Holland, at 3 s. 4 d. per Ell.
  • 1 Piece of Cambrick, at 15 s.
  • 85 Yards ½ of Diaper, at 1 s. 10 d. per Yd.
  • 19 Yds. ¾ of Damask, at 4 s. 3 d. per Yd.
  • 2 Pieces of Muslin, at 18 s. 10 d. per Piece.

The several Articles of these Bills are purposely omitted being cast up, for the Exercise of the Reader in the Rules for Practice; or by the Rules of Multiplication of Money, be­fore shewn; which indeed is the best Method of all, for the [...]eady casting up the divers and sundry Articles contained in [...]ny Bill of Parcels whatsoever.

Example.

We'll take the last Article of the Woollen-Draper's Bill, [...]iz. 5 Yds ⅞, &c. at 18 s. 10 d. per Yard.

[...]

In this Example the Price is multiplied by the Quantity, [...]iz. 5 Yards ⅞, according to the Rules delivered in Mul­tiplication [Page 168] of Money; and the Product by 5 is l. 4—14—2. Then for the ⅞ of a Yard, I multiply the Price of the Inte­ger, viz. 18 s. 10 d. by the Numerator of the Fraction, viz. 7, and divide by the Denominator 8, and the Quotient is 16 s. 5 d▪ ¾ agreeable with the Rule spoke to in the Doctrine of Fractions.—Which 16 s. 5 d. ¾ added to the Product of 18 s. 10 d. multiplied by 5, gives l. 5—10—7 ¾ as in the Operation above.

A Grocer's Bill.

Bought of Robert Raisin, and Peter Plumb, October the 4th, 1753, viz.

  C. qrs. lb. l. s. d. l.
Sugar 2 Hhds qt. 17 2 17 at 1 10 6 per C.  
Raisins 3 Barrels 6 1 19 at 1 14 5  
Tobacco 1 Hhd 4 0 12 at 4 19 4  
Rice 1 Barrel 1 0 15 at 2 16 4  
Pepper 1 Bag 1 3 19 at 3 12 4  
Brimstone 2 1 19 at 1 19 1  

A Hosier's Bill.

Bought of Silvester Slipstocking, Octob. 5th, 1753. viz.

5 Pair of Womens mixt Worsted Hose, at 5 s. 7 d.
3 Pair of Womens Silk Hose, at 9 s. 4 d.
22 Pair of Men's Woollen ditto, at 3 s. 2 d.
8 Pair Womens ditto, at 2 s. 2 d.
21 Yards of Flannel, at 1 s. 11 d.
8 Pair of Thread Hose, at 3 s. 4 d.

The best and most expeditious Way of casting up these several Articles is by the Method shewn in Multiplication of Money.

A Fishmonger's Bill.

Bought of Leonard Ling, 6th of October, 1753. l.

3 C. of Haberdine, at l. 7 10 6 per C.
1 ½ of Ling, at 8 2 6
1 ½ of Stock-Fish, at 4 10 6
6 ½ Barrels of White Herrings, 3 10 2
1 Barrel of red Herrings, at 2 12 6
95 dried Salmon, at 0 01 2

The Amount of each Article is purposely omitted for th [...] young Man's Exercise in Arithmetick.

Note, Haberdine or Ling, 124 is a Hundred: Stock [...] and Herrings, 120 to the Hundred, 1200 to a Thousand, 12 Barrels a Last.

[Page 169]

A Leather-seller's Bill.

Bought of Henry Hide, the 7th of October, 1753. viz.

  s. d. l.
[...] Large oil'd Lamb Skins, at 1 3 ½ per Skin.
3 Kipp of Goat Skins, at 3 4  
37 Allom'd Sheep Skins, at 1 3  
9 Calf Skins, at 4 3  
[...] Oil'd Buck Skins, at 12 9  
[...] Russia Hides, at 12 9  
[...] Dicker of Hides, at — l. 15 11 6  

Note, 50 Goat Skins make a Kipp; and other Skins, five- [...]core to the Hundred. A Dicker is 10 Hides or Skins; and 20 Dicker a Last.

A Pewterer's Bill.

Bought of Andrew Antimony, October the 7th, 1753, viz.

  l. s. d.
9 Hard Metal Dishes, wt. 42 lb. at 14 d. per lb. 2 19  
1 Dozen of ditto Plates, 0 17  
1 Chamber-pot of ditto, 0 4  
1 Standish of ditto, 0 4  
2 Tankards of ditto, 0 5 10
18 Best Spoons, 0 4 6
[...] Hard Metal Porringers, 0 3  
1 Salt of ditto, 0 1 10
1 Sett of Castors, 0 10  
  4 19 2

Examples of Casting.

[...]

[Page 170]

Bills on Book Debts. A Woollen Draper's Bill.

1753. Mr. Francis Frize, Dr.
    s. d. l.
April 20 To 16 Yds. ½ of Black [...] at   3 per Yd.
ditto 24 To 4 Yds ⅛ of Drap- [...], at 15 6  
May 4 To 35 Yds mixt grey Cloth, at 10 5  
17 To 9 Yds of fine ditto, at 17 3  
June 12 To 12 Yds ½ of fine Broad Cloth, at 17 3  

If the Gentleman pays the whole Bill, then make the Receipt thus:

Received the 19th of Octo. 1753. of Mr. Francis Frize, the Sum of Fifty-four Pounds, &c. in full of this Bill, and of all Accompts, for my Master, David Draper, per Michael Measurewell. l. 54, &c.

A Mercer's Bill.

1753. Madam Dinah Dilatory, Dr▪ to Bryan Brocade, viz.
  Yards. s. d.
Mar. 16 To 16 ½ of flower'd Sattin, at 14 9 per Yd.
April 14 To 14 of Venetian Silk, at 11 8
ditto 16 To 99 of Mohair, at 6 3
May 16 To 14 ½ of flower'd Damask, at 9 7
June 7 To 5 ⅛ of Genoa Velvet, at 21 9
ditto 26 To ¾ of Lutestring, at 4 7

If Part of this Bill is paid, write thus:

Received of Madam Dinah Dilatory, Twelve Pounds Ten Shillings, in Part of Payment for my Master, Bryan Brocade, per Henry Hunter. l. s. d.
  12 10 00

A Corn Chandler's Bill.

1753. Mr. Robert Racer, Dr. to Lional Livery.
      s. d.
April 14 To 5 Quarters of Oats, at 2 3 per Bush.
May 16 To 9 Bushels of Beans, at 4 10  
June 12 To 7 Bushels of Bran, at 1 10  
  To 19 Bushels of Oats, at 1 11  
ditto 14 To 16 Bushels of Beans, at 3 11  
[Page 171]

A Tobacconist's Bill.

1753. Mr. Francis Fume, Dr. to Richard Raisecloud, viz. d.
May 1 To 1 Hhd of Tobacco, qt. nett, 569 lb. at 10 ½ per lb.
ditto 25 To 1 Box qt. 75 lb. ½ nett, 11 ¾  
June 4 To 5 Bags of Old Spanish, qt. nett, 671 lb. at 3 ¼  
July 12 To ½ Hhd, qt. 334 Gross, Tare 42 nett, 293 lb. at 5 ¼  
7 ber 7 To 2 Rolls of Tobacco, qt. 94 lb. 9 ½  

A Stationer's Bill.

1753 Mr Siscera Scribler, Dr. to Phineas Foolscap, viz.
  Reams s. d. l.
July 12 To 57 of Demy Paper, at 10 9 per R.
ditto 13 To 195 of 2d Foolscap, at 6 3  
August 24 To 375 of 2d Demy, at 8 2  
[...] ber 6 To 95 of French Royal, at 2 6  
[...] ber 29 To 26 Rolls of Parchment, at 15 11  

Note, A Roll of Parchment is 60 Skins: A Ream of Paper 20 Quires; and a Bale of Paper 10 Reams.

A Bricklayer's Bill.

[...]753. Mr. Martin Messuage, Dr. to Peter Pantile, viz.
Mar. 27 To 25 Thousand of Bricks, at 16 s. per M.
[...]itto 30 To 11 Thousand Plain Tiles, at 20 s. 6 d. per M.
April 1 To 28 C of Lime, at 12 s. per C.
[...]itto 9 To 20 Load of Sand, at 3 s. 6 d. per Load.
May 20 To 140 Ridge Tiles, at 8 s. 6 d. per C.
[...]une 24 To 90 Days Work my self, at 3 s. per Day.
  To 90 Days my Man, at 2 s. 6 d. per Day.
  To 90 Days another Bricklayer at 2 s. 6 d.
  To 90 Days for two Labourers, at 20 d. per Day each.

Note, 1000 plain Tiles is 1 Load; and 25 Bags or Bushels [...] Lime 1 C. A Brick must be 9 Inches long, and 4 Inches ½ [...]oad. Bricks are of three Sorts, Plaice Bricks, Red and [...]rey Stock Bricks.—

Here it is necessary to give a general Rule for the casting [...] any Thing sold by the Thousand; as Bricks, Tiles, [Page 172] Clinkards, or Flanders Paving Bricks, and several other Things mentioned in the Book of Rates, viz. Barrel Hoops, Goose Quills, Oranges and Lemons, Squirrel Skins, Billets, &c.

And the easy Rule is this, viz.

Multiply the given Number by the Shillings in the Price, (if the Price be at so many Shillings per M) and always cut off three Figures or Places towards the Right hand; and the Figures towards the Left-hand are Shillings, which divide by 20, to bring them into Pounds; and those Figures separated towards the Right-hand, multiply by 12, the next inferior Denomination; and still cut off, or separate three Places to­wards the Right-hand, and the Figures toward the L [...]st are Pence; and the three last Figures cut off, multiply by 4; and still separate three Places toward the Right-hand, and the Figures toward the Left are Farthings.—And if the Pri [...]e be Shillings and Pence per Thousand, then reduce the Price into Pence, and multiply the given Number by the Pence contained in the Price, cutting off three Places toward the Right as aforesaid, and the Figures toward the Left [...]re Pence, which bring into Pounds, according to Rule; and multiply the Remainder, or Fi [...]ures cut off by 4, &c.

Example.

[...]

[Page 173]When Things bought by the Thousand, and retailed by the Hundred, as particularly Dutch and English Pantiles; then follow this Rule, viz.

Multiply the given Quantity by the Price, whe [...]her Shil­lings, or Shillings and Pence. If Shillings, multiply by the Number of Shillings, and cut off two Figures or Places to­ward the Right-hand, and those toward the Left are Shil­lings; which reduce to Pounds as usual; and what remains, that is, the Figures cut off, multiply by 12; and again cut off two Places more toward the Right-hand, and the Figures [...]o the Left are Pence; and what remains multiply by 4, &c.

Example.

[...]

If the Price be Shillings and Pence, multiply by the Pence [...]ntained in the Price, and proceed as before; and then the [...]gures toward the Left-hand will be Pence; which reduce [...] Pounds, according to Rule.

Example.

[...]

This Method is preferable to Practice, because of its [...] for the odd Number above Thousands or [...], which would be [...]uzzling to be very exact as to the [...] Number; but [...] is Method, the Question is solved [...] the 1000 or 100 Parts of a Farthing; as may be seen by [...] foregoing Examples of the Operation.

[Page 174]

Of Bills of Exchange.

BILLS of Exchange are either Inland, or Foreign▪ The Inland Bills are drawn by one Trader in one City or Town, upon another of another City or Town in the same Kingdom; as London upon Bristol, or Exeter upon London, &c. and these chiefly concern our Shop-keepers, and whole­sale Traders, either of Town or Country, and the Foreign more immediately concern the Merchant.

Bills of Exchange, if handsomely drawn, must be written in a fair Hand, on a long Piece of Paper, about thre [...] Inches broad; and writ in Form after the following Precedents▪

A Bill payable at Sight.

AT Sight hereof, pay to Mr. George Greedy, or his Or­der, the Sum of Fifty Pounds, New-York Currency, for Value received of Christopher Cash; and place it to the Accompt, as per Advice, of

To Mr. Peter Punctual, Merchant in New-York.
Your humble Servant, Daniel Drawbill.

Note, A Bill at Sight is payable three Days after the A [...]ceptor seeth it.

SEven Days after Sight hereof, pay to Mr. Nathan Nee [...] or his Order, Twenty-four Pounds, Ten Shillings, Ne [...] England Currency, old Tenor, for Value received here [...] Mr. Timothy Transfer, and place it to Accompt, as [...] Advice from

To Mr. Simon Certain, Hatter, in Milk-Street, Boston.
Your Friend and Serva [...] Michael Moneyman [...]

If Mr. Needy sends his Servant, Andrew Benson, to re [...]ceive the Money; after he hath writ his Name on the Back o [...] the Bill, (which is his Order) the Servant must write a Re [...]ceipt to his Masters Name, thus:

REceived, November 17, 1753▪ the full Contents of [...] within mentioned Bill, being Twenty-four Pounds, [...] Shillin [...]s.

Witness, Andrew Benson.
Nathan Needy.
[Page 175]

A Foreign Bill of Exchange.

Sir,

AT thirty Days after Sight of this my first of Exchange, my second, third or fourth, of the same Tenor and Date, not being paid, pay to Mr. Stephen Emerson, or Order, the Sum of One Hundred and Sixty Five Pounds Sterling, Value received here, and place the same to Accompt, as per Advice from

To Mr. Simon Surepay, Merchant in London.
Your humble Servant, Ebenezer Reynolds.

The Acceptance is thus wrote under the Bill; Accepted this 16th Day of November, 1753.

per Simon Surepay.

Notes on Bills of Exchange.

1. THE Acceptor of any Bill is become absolute Dr. to the Person to whom the Bill is payable for the Contents thereof.

2. The Person to whom the Bill is payable, must demand the Money the very Day it becomes due, and if the Acceptor die before it becomes due, it must be demanded of the Executor [...]r Administrator.

3. The Drawer of any Bill must always give his Corre­ [...]ondent a Letter of Advice, that he hath drawn such a Bill [...] him for such a Sum, &c.

4. None may pay a Bill without such a Letter of Advice.

5. A Bill is due the third Day after the Expiration of the Time mentioned in the Bill.

Of Endorsing.

IT frequently happens, that between the Acceptance of a Bill, and the Time of Payment, the Party to whom it [...]s first made payable, hath Occasion to pay it away; if so, he [...]rites his Name on the back of the Bill, which is his Order, [...]as said before) and gives it to the Person he is indebted to, [...]nd then he is impowered to receive the Money: And it may be, the second Person also wants to pay it away; and [...]hen he writes his Name likewise under the other, and de­livers [Page 176] it to a third Person to receive the Money; and it may be, the third does the same, and delivers it to a fourth Person, &c. All that do so are Endorsers; and he that last hath the Bill, if the Acceptor will not pay it, may sue him, or the Endorsers, or Drawer, or any of them, for the Money.

An Endorsement is generally in these Words, viz. Pay the Contents of the within mentioned Bill to Henry Hasty,

George Greedy.

But many times the Name only is accounted sufficient.

Of Protesting.

WHEN a Bill is to be protested, the Party that hath the Bill must go to a Publick Notary (not a Commo [...] Scrivener) whose Business it is, and he goes with you to the Ac­ceptor's House and demands Payment, &c. and then he draws up a Protest according to Law; which is to be returned to the Drawer within the Time limited, &c.

It is needless to give here the Form of a Protest, because no Man can do it of himself.

Another Bill of Debt.

KNOW all Men by these Presents, that I Lawrence Lackcash, of Boston Vintner, do owe and am indebted unto Charles Creditman, of the same Place Salter, the Sum [...] One Hundred and Fifty Pounds lawful Money of Boston, [...] Tenor, which said Sum I promise to pay unto the said Charle [...] Creditman, his Executors, Administrators, or Assigns, on [...] before the 24th of December next ensuing the Date hereof▪ Witness my Hand and Seal, this 6th Day of October, 1753.

Sealed and Delivered,

Lawrence Lackcash.

A Bill for Money borrowed.

REceived and borrowed of Oliver Overcash, of Phila­delphia, Merchant, Fifty Pounds, which I do hereby promise to pay on Demand. W [...]ness my Hand this 6th Day of [...]ctober, 1753. l. 50

Peter Penury.
[Page 177]

The Form of an Invoice.

Port Royal, in Jamaica, July 24 th, Anno 1753.

INVOICE of five Barrels of Indico, five Hhds. of Sugar, and five Hhds. of Pymento, shipped on board the George of London, George Jones, Commander, for Accompt and Risque of Messrs. John and Thomas Fisher, of London, Merchants, being mark'd and number'd, as per Margent; Contents, Costs and Charges, viz.

I F Indico 5 Barrels l. s. d.
  143 lb.      
N o. 1a 5 412      
  146      
  152      
  173      
  756 lb. nett, at 2 s. 2 d. per lb. 81 18  
  Sugar.      
  5 Hhds Tare      
  C. qr. lb. C. qrs. lb. C. qr. lb.      
  11-3-27—1-2-19 Gross 68-0-00      
  12 2-19—1-3-00 Tare 8-3-12      
  13-2-13—1-2-16      
1a 5 14-1-15—1-3-11 Nett 59-0-16      
  15-1 10—1 3-22 at 24 s per C. 70 19 5
  68-0-00—8-3-12      
  Pymento lb.      
  5 Hhds. Tare 2026 Gross      
  lb. lb. 389 Tare.      
  432—84      
  396—72 Nett 1637 at 11 d. ¼ 76 14 8 ¼
1a 5 410—81 per lb.      
  376—70 Charges      
  412—82 To Cost of 5 Barrels and 10 Hhds. 4-7-9      
  2026 —389 To Storage—1-0-0 5 7 9
    234 19 10 ¼
  To Commission at 5 per C. 11 14 11 ¾
  Errors excepted, per A. B.      
    246 14 10
[Page 178]

The Form of an Account of Sales.

1753 AN Account of Sales of 2756 Ells of brown Oznabrigs; 1112 Yards of blue Linen; 2 Pieces of blach Cloth, qt. 39 Yards; 40 Pair of Thread Stockings; and 175 Ells of Bag Holland; received from on board the Ship Good Success, Samuel Sharp, Commander, for Account of Mr. Lawrence Lucky, of London, Merchant.
  Dr. l. s. d. 1746. Contra Cr. l. s. d.
March 17 To Porteridge of ditto, 0 17 6 March 2 By Cash, for 2765 Ells of brown Oznabrigs, making 3456 ¼ Yards, sold at 8 d. ½ per Yard, 22 8 2
  To Commissions on Sales, at 5 per C. 12 16 9
  To Storage, at 2 ½ per Cent, 6 8 4 ½ ditto 29 By Benja. Baker, sold him 1112 Yds. of blue Linen, at 7 d. ½ per Yard, 34 15 0
    20 2 7 ½ ditto 31 By James Smart, for 39 Yards of black Cloth, sold him at 15 s. per Yard, 29 5 0
  To your Account Cur­rent for the Nett Proceed, bad Debts excepted, 236 12 7 ½ April 2 By Lawrence Monk, sold him 40 Pair of Stockings, at 7 s. 10 d. per Pair, 15 13 4
  l. 256 15 3 ditto 8 By ditto for 175 Ells of Bag Hol­land, at 6 s. 3 d. per Ell, 54 13 9
              l. 256 15 3
Philadelphia, April 13, 1753. Errors excepted, per Charles Carefull.
[Page 179]

The Extraction of the Square and Cube Roots, of great Use in Measuring, Gauging, &c.

The Square Root.

1 st. A Square Number is any Digit, or any other Num­ber, which being multiplied into itself, produceth a Square Number; as 4 multiplied by 4, produceth 16; so 16 is the Square Number, and 4 is said to be the Root of 16, because it grows from, or is produced of 4; so 4 is the Spuare of 2, for twice 2 is 4, and 9 is the Root of 81, for 9 times 9 is 81, &c.

2 dly, To extract the Square Root of any Number, is to find another Number, which multiplied by (or into) itself, produces the Number given, and is a Proof of the Work.

3 dly, Square Numbers are either single or compound.

4 thly, All single Square Numbers, with their respective Roots, are contained in the following Table, viz.

Roots. 1 2 3 4 5 6 7 8 9
Squares. 1 4 9 16 25 36 49 64 81

5 thly, When the Root of any Square Number is required [...]ess than 100, and yet not exactly a single Square expressed [...]n the Table above; then you are to take the Root of the Square Number expressed in the Table, which (being less) [...]omes the nearest to the given Number to be squared: As [...]uppose 60, the nearest Root to it (as being less) is 7, and 12 being given, the Root belonging to it is 3.

6 thly, A compound Square Number is that which is pro­duced of a Number consisting of more Places than one, mul­ [...]iplied by itself, and never less than 230: So 459 is a com­ [...]ound Square Number, produced by the multiplying 27 in­ [...]o itself.

7 thly, The Root of any Number under 100 may be ea­ [...]ly known by the foregoing Table of single Squares: But to [...]xtract the Root of a compound Number of several Places, [...]bserve the following Directions, in Relation to the Finding [...]he Root of this Square Number 45796.

[Page 180]1. Set a Point over the Place of Units thus, 45796, and so successively over every second Figure towards the Left-hand, as thus, 45796; and again thus, 45796. Thus must your Number be prepared for Extraction in Natural Num­bers: But in the Decimals you must point from the Place of Primes towards the Rig [...]-hand, omitting one Place, as above; and if the Decimals are odd, affix a Cypher towards the Right-hand of them to make them even. Your Number thus prepared, draw a crooked Line on the Right of the Number, as in Division; and indeed the Operation of the Square Root is not much unlike Division; only there the Divisor is fixt, and in the Square Root we are to find a new One for each Operation. I say having made a crooked Line thus, 45796 (seek the nearest Root in the foregoing Table, to the first Point on the Left-hand, which here is 4, the Root of which is 2, which Place behind the crooked Line thus: [...] and substract it, and there remain 0: Then to the Remainder bring down the next Point 57 thus: [...] which call the Resolvend; then double the Root of the fir [...] Point, and place it on the Left-hand of the Resolvend ( [...] proper enough the Dividend) thus; [...] The 4, the double of the Root 2 on the Left-hand of th [...] crooked Line, call the Divisor, then seek how often 4, th [...] Divisor, can be taken in 5, the first Figure of the Resolve [...] [Page 181] [...]7) for you are to omit the last Figure towards the Right- [...]and) which here is one, which 1 place behind the Root 2, [...]nd also behind the Divisor 4 thus: [...]

Then multiply the Divisor (now) 41, by the Figure last [...]laced in the Root, viz. 1, and place it under the Resol­ [...]end thus, and substract it therefrom.

[...]

Then bring down the next Point, viz. 96, and place it [...] the Right of the Remainder 16 for a new Resolvend or [...]ividend thus; next double [...] [...]he Quotient, or Part of the Root, viz. 21, and place it for a new Divisor to the new Resolvend 1696, thus:

Then seek how oft 42 in 169? (still reserving or omitting the unit Figure of the Resolvend or Dividend, as aforesaid) and I find I can have it 4 times, which I place in the Quotient, or Place of the Root, and then the Work appears thus: [...]

[Page 182]In the last Step, I place 4 in the Root, and likewise 4 be­hind the Divisor 42, which makes the new Divisor 424 to the Resolvend 1696; which Divisor multiplied by 4, the Figure last placed in the Root, produces 1696; equal with the Dividend or Resolvend aforesaid, as in the Operation may be seen. So that the Square Root of 45796 is 214; for 214, multiplied into intelf, produces 45796, the Num­ber given, whose Square Root was sought,

More Examples.

[...]

[Page 183]Note, That when the Divisor cannot be had in the Resol­vend, then place a Cypher in the Quotient, and also in the Right of the Divisor, and bring the Resolvend a Step lowe [...], and then bring down the next Square, &c. as in the Example [...]bove may be seen.

Note further, If any Remainder happen to be after Extrac­ [...]ion, you may proceed by annexing Pairs on Cyphers to the Left [...] the given Number, and so come to what Exactness you please.

Note also, Such Numbers given Extraction that leave Re­mainders, are by some called Irrationals, because their Roots cannot be exactly discovered, but still there will be something [...]emaining, though you work by whole Numbers or Fractions: As in the Example above, where the Remainder is 2799.

The Extraction of the Cube Root.

TO extract the Cube Root of any Number, is to find another Number, which multiplied by itself, and that [...]oduct by the Number found, produces the Number given for Extraction.

From the foregoing Table for Extraction of the Square Root, proceed the several Squares of the Cube Root, viz.

Roots, 1 2 3 4 5 6 7 8 9
Squares, 1 4 9 16 25 36 49 64 81
Cubes, 1 8 27 64 125 216 343 512 729

1 st, To prepare any Number for Extraction, make a [...]oint over Unity, and so successively over every third Figure, [...]issing two between each Point; but in Decimals, you must [...]oint from the Place of Units to the Right-hand, &c.

Example.

Extract the Cube Root of 46656, prepared thus, as above [...]irected.

[...]

Here are but two Points, therefore the Root will have [...] two Places.

2 dly, The Number being prepared, seek in the foregoing [...] the nearest Root to the first Point or Period 46, [...] you will find to be 3, which place in the Quotient [...] 46656 (3 the Cube or Triple whereof, viz. 3, is 27, [Page 184] which place under your first Point 46, as in [...] the Margent; the which substract from 46, and there rests 1 [...]; this is your first Work, and no more repeated. Then to the Re­mainder 19, bring down the next Period, viz. 656 (which is the last) and place it on the Right of [...] Remainder 19, thus; [...]

Then draw a Line under the Resolvend; next square [...] 3 placed in the Quotient; which makes 9, which multipli [...] by 300 makes 2700 for a Divisor, which place according thus; [...]

Then seek how often 2 in 19? Answer, but 6 times, [...]cause of the Increase that will come from the Quotient, [...] multiply the Divisor by 6, and the Product will be 1620 [...] which place orderly under the Dividend thus; [...]

Then proceed to find the Increase coming from the Qu [...]tient thus; Square your last Figure 6, and it makes 3 [...] which multiply by 3, the other Figure of the Quotient, gives 108; which multiplied by 30, makes 3240. [...] place also orderly under the last Number before set [...] viz. 16200, and the Work will appear thus; [...]

[Page 185]Then [...] Figure last placed in the Q [...]otie [...]t, viz 6, [...] makes 216; which place orderly likewise under the [...] 3240, as above, then add [...]he three Lines together, [...] they make 19056 (for so many yo [...] always have after [...] first Operation.) And seeing the Total to be equal to the [...]vidend above, viz. 19656 and no more Periods to bring [...]wn, I see the Work is finished, and find the Cube Root [...] 46656 to be 36.

Some Geometrical Problems useful in Mensuration.

Upon a right Line given to [...]rect a Perpendicular, as in Figure 1.

LET CD be the Line given to have a Perpendicular raised on it from B, with the Compasses (opened at a [...] convenient Distance) place one Foot in the Point B, [...] with the other m [...]ke two marks E and F, on either Side [...] B; then open the Compasses to a more large and conve­ [...]ent Distance, and make the Arch GG, by setting one Foot [...] E, and as near as you can over the Point B, then (the [...]ompasses being open at the same Distance) place on [...] Foot [...] the Point F, and describe the Arch HH, crossing the [...] at the Point A; thro' which Intersection with a Ruler [...]raw the Line from A to B, which will be perpendicular to [...]he Line CD.

How to raise a Perpendicular on the End of a Line.

This is effected several Ways; but I shall instance only [...]wo, which are very easy.—See Figure 2.

First Method.

Suppose the Line AB be given to raise a perpendicular [...]wards the End.

First open your Compasses to any small Distance, and set [...] Foot in the Point A; and with the other, describe the [...] FED; then with one Foot of the Compasses in D [...] being opened to the same Distance) cross the Arch in [...]; [...] then setting on [...] Foot in E, with the other make the [...] AFG, crossing [...]he first Arch in [...]. Again, set one [...]hot in F, and with the o [...]her describe the small Arch HH, [...]ssing the former in the Point C; so the Line AC being [...] the Perpendicular required.

[Page 186]

The Second Method.

Admit B be the Point given on which to draw the Perpe [...]dicular BI. Open the Compasses to any small Distance; an [...] setting one Foot in the Point B, pitch down the other Foo [...] at Random, as suppose at K; then the Foot resting in K turn the other about till it cross the Line AB in L; the [...] draw the Line KL, and set the same Distance KL (at which the Compasses already stand from K to M; so a Line drawn from B, thro' M, is the Perpendicular on the End of the Line AB.

How to divide a Right Line into two equal Parts, an [...] at Right Angles; as in Figure the 3d.

Suppose the Line AB be given to be divided into 2 equal Parts, at Right Angles. Take in the Compasses any Distance above Half the Length of AB, and setting one Foot in the Point A, with the other draw the Arch CDE; then (the Compasses unaltered) set one Foot in B, and with the other cross the former Arch both above and below the Line, in the Points F and G; then a Line drawn from F to G shall inter­sect, ot cut the given Line in H, and divide the Line AB into two equal Parts, and at Right Angles.

Of Parallel Right Lines

Right lined Parallels, are Lines drawn on a Plane [...] equal Length and Distance; and tho' infinitely extende [...] will never meet, and in all Parts retain an equal Distance such as these underneath.

  • B—C
  • C—D

To draw a Right Line Parallel to another Right Lin [...] at a Distance given; as in Figure the 4th.

Take in your Compasses the given Distance GH, the [...] setting one Foot in E, draw the Arch IK; then moving to F, describe the Arch LM; then laying a Ruler on the Top of the two Arches, just touching them, draw the Line NO, which will be parallel to the given Line EF.

To bring any three Points (not in a strait Line) into a Circle by finding the Centre, so that the Circle shall pass thr [...] [...]hose Points; as in Figure the 5th.

Let the three Points given be AB and C, through whic [...] it is required that a Circle be drawn. First, set one Foot [...] [Page 187] the Compasses in one of the given Points, as suppose in A, and extend the other Point to B, another of the Points, and draw the Arch of a Circle GFD; then (the Compasses not altered) set one Foot in B, and with the other cross the said Arch with two small Arches, in the Points D and E, and draw the Line DE. Thirdly, set one Foot in C, (the Compasses being at the same Distance) and with the other Foot cross the first Arch GFD in the Points F and G, and draw the Line FG, crossing the Line DE in the Point O, which is the Centre sought for; in which, place one Foot of the Compasses, and describe the Circle at the Distance OA, and it passes through all the given Points AB and C

How to make a Line of Chords Geometrically, to any assigned Length or Radius.

Since in the Art of Dialling, there is frequent Use made of the Line of Chords, it is proper here to shew the Making thereof.

A Line of Chords is 90 Degrees of the Arch of a Circle, transferred from the Limb of the Circle to a straight Line; now every Circle, whether great or small, is divided (or sup­posed to be divided) in 360 equal Parts, ca [...]led Degrees: So the Semi or Half Circle contains 180, the Quadrant or Quarter 90, and the Radius or Semi-diameter (which is that Line on which the Circle or Semi circle is drawn or described) noted in Figure the 6th of the Line of Chords, with the Letters AB, is always equal to 60 Degrees of that Circle which it describes, and therefore 60 Degrees of a Line of Chords is called the R [...]dius thereof.

To make the Line of Chords; as in Figure the 6th.

First, draw a Line of any Length, as CBD, and on the Middle thereof draw the Perpendicular AB; next open [...]our Compasses to the Radius or Length that you would have [...]our Line of Chords be of; which admit AB, and with [...]hat Distance on B as the Centre, describe or draw the Semi- [...]ircle CAD, which is divided into two equal Parts, or Qua­drants, by the pe [...]pendicul [...]r Line AB; thirdly, divide the Arch or Quadrant ARD, into 90 equal Parts or Degrees; [...]hich is done by taking the Length of the Line AB, and [...]e [...]ting that Distance on the Quadrant AD, and from D to [...]; so is DR [...]0 Degrees, and AR 30 Degrees; then take [...] Distance AR, and set it from D to S, so is the Quadrant [...]ivided into three equal Parts, at the Poi [...]t S, and R, each [Page 188] containing 30 Degrees; this done, divide the several Spaces between AR, RS, and SD, into three equal Parts, each of which will be 10 Degrees, according as the Numbers are seen and set apart to them: And these again divided into two equal Parts, each Part contains 5 Degrees; and every of those into 5 smaller, as in the Rep [...]esentation; and so the whole Quadrant is divided into 90 Degrees. Fourthly, The Quadrant ARSD being thus divided into 90 Degrees, set one Foot of the Compasses in D, and open the Foot to A, and describe the Arch AEF, touching the Line CD [...] F, so is the Point F, upon the Right Line CD, the Chord of 90 Degrees. Fifthly, open the Comp [...]sses from D to 80 De­grees, and describe the Arch 80 GH; so shall the Point H be the Chord of 80 Degrees. Sixthly, Open the Comp [...]sses from D to 70, describe the Arch 70 IK, so is K the Chord of 70 Degrees. Again, Open the Comp [...]sses from D to R, the Radius of 60 Degrees, and describe the Arch RLB, so is B the Chord of 60 Degrees, equal to the Radius. Do the same by 50, 40, 30, 20, and 10, and then you will have the Line DF divided into 90 unequal Parts, called Chords, as in Figure 6.

Thus much for the Line of Chords, frequently made use of in Dialling, where there is not the Conveniency of ha­ving a Mathematical Instrument-maker near at hand.

Note, A Degree is the 360 th Part of any Circle, and every Degree is supposed to be divided into 60 equ [...]l Parts, called Minutes; and every Minute is supposed to be subdivided into 60 equal Parts called Seconds, &c.

Of Mensuration of Plains and Solids.

THE several Kinds of Measuring are three, viz.

1 st, Lineal, by some called Running Measure, and is taken by a Line, and respects Length without Breadth; the Parts of which are,

12 Inches 1 Foot, 3 Feet 1 Yard, 16 Feet and Half 1 Rod, Pole, or Perch.

All Kinds of ornamental Work, such as Cornice Freeze, &c. are measured by Running Measure.

2 dly, Superficial, or flat square Measure is that which re­spects Length and Breadth; and the Parts are, viz.

144 Inches one Foot, 72 Inches Half a Foot, 36 Inches one Quarte [...] of a Foot, 18 Inches Half a Quarter of a [...]oot, 272 Inches and a Quarter one Rod, 136 Feet Half a Rod; 1296 Inches, or 9 Feet, one superficial square Yard.

[Page 189]3 dly, Solid, or Cube Measure, which respects Length, Breadth and Depth, or Thickness; and the Parts are, viz.

1728 Inches 1 Foot, 1296 Inches three Quarters of a Foot, 864 Inches Half a Foot, 432 Inches one Quarter of 1 Foot, and 27 Feet 1 solid Yard.

Superficial Measure.

TO measure Things that have Length, and Breadth, such as Board, Glass, Pavement, Wainscoat, and Land, is to take the Dimensions of the Length and Breadth, according to the customary Method used in each Particular; as Board and Glass are measured by the Foot, but the Dimensions are taken in Feet and Inches, and the Content given in Feet.

Wainscoat and Pa [...]ing by the Yard, as are also Plaistering and Paint [...]ng, and the Dimensions are taken in Feet and Inches, and the Content given in Yards.

Dimensions of Land are taken by the Pole or Chain, of 4 Poles in Length; all which is taken in square Measure super­ficial, that is, an Inch, Foot, Yard, or Pole; which is not only sometimes in Length, but also as much in Breadth too; or if it wants of it one Way, it must be made up the other.

Of the Square.

The squaring of any Number, is multiplying it into itself, as 12 Inches multiplied by 12 Inches, make 144 Inches square, on the Flat. The Square of any Thing is found four several Ways, viz. by whole Numbers, by Decimals, by Practice, and by Cross Multiplication; in each of which Me­thods I shall give Examples of Operation.

When any Thing is to be measured, it must be considered what Form or Fashion it is of: and then it must be measured according to the several Rules for each Figure.

First, If it be a Square of equal or unequal [...]ides, that is, one Way longer or wider than the other (as Boards are almost always much longer than they are broad) then the Length and Breadth must be multiplied one by the other, which makes it square Measure, as was hinted before; and if that Product be divided by its proper Divisor, as 144 is the Di­visor, for flat or superficial Measure, and 1728 the Divisor for cube or solid Measure; the first being the square Inches in a superficial square Foot, and the other the cubick square Inches in a solid Foot square.

Example.

Admit a Board be 12 Inches broad, and 8 Feet, or 96 Inches long, how many square superficial Feet doth it contain?

[Page 190] [...]

Here the Length in Inches is multiplied by the Breadth in Inches, and the Product 1152 divided by 144, the square I [...]ches in a Foot, quotes 8 [...]eet square for the Contents of the Board.

A General Rule for Dispatch.

If the Length of a Board, or Piece of Glass, be given in Fee [...], and the Breadth in Inches, multiply one by the other (without any Reduction) and d [...]vide the Product by 12, and the Quotient will be the Answer in Feet, and the Re­mainder w [...]ll be Parts of a Foot. So the foregoing Example might have been sooner done by dividing 96 the Length, by 12 the Breadth, and it quotes 8 Feet for the Content, as by the former Way.

Example.

Suppose a Board be 14 Feet long, and 15 Inches broad, what's the Content in square Feet?

[...]

So the Answer is 17 Feet and ½. And so for any other Example of this Kind.

Here 3 Inches is the of 2 Foot, wherefore ¼ of 14 is taken, and added to 14, and it makes 17 Feet and 2/4, equal to ½.

If a Board be wider at one End than the other, then take the Breadth in the Middle, or add the Measure of both Ends [Page 191] together, and take the Half for the mean Breadth, which multiply by the Length.

Example.

Suppose a Board to be 120 Inches long, and the narrowest End 10 Inches wide, and the broadest End 24 Inches wide; what is its Content in superficial Feet?

[...]

If a Board or Piece of Glass be ever so irregular, it may be measured very near, by taking the Breadth in 5 or 6 Places, and add the several Breadths together, dividing the Total by the Number of Places, and the Quotient will be the mean Breadth; which multiply by the Length, &c.

Having the Breadth in Inches of any Board, or Piece of Glass, to know how much in Length of that Board or Piece of Glass, will make a Foot Superficial.

[Page 192] Rule. Divide 144 by the Inches in Breadth, and the Quo­tient will be the Length of that Board that will make a Foot.

Example.

If a Board be 9 Inches broad, what Length of that Board will make a superficial Foot?

Or by the Rule of Three Reverse, thus, [...]

If a Board be 12 Feet ½ long, and 15 Inches broad, ho [...] many square Feet doth it contain?

[...]

[Page 193] [...]

Here the Content is found four several Ways, viz. by multiplying the Inches together, and divi [...]ing by 144, &c. The next Work is performed [...]ecimally; the third Method is by cross Multiplication; and the last and best is by Practice.

Any of these Methods may be easily understood by the Use of the Arithmetical Part of this Book, except the Method by Cross Multiplication, which, I think, hath not been shewn; wherefore I shall explain it here.

In the Example, 1 Foot 3, stands under 12 Feet 6; and having drawn a Line, say, once 12 is 12; th [...]n I say Cross­way, [...] times 1 is 6 Inches; so that Line is 0 Feet, [...] Inches; Then Cross ways again, I say 3 times 12 is 36 I [...]ches, the 12's in 36 is 3 times, or 3 Feet; so that Line is 3 Feet 0 Inches: Lastly, I multiply the Inches together, saying, 3 times 6 is 18, the 12's in 18 once, and there remains 6, or 6/ [...], equal to ½, as in the Work.

Proper Directions for Joyners, Painters, Gl [...]siers, &c.

Ro [...]ms being generally various in their Forms, take this general R [...]le in all Cases, viz.

Take a Line, and apply one End of it to any Corner of the Room; then measure the Room, going into every Cor­ [...]r with the Line, till you come to the Place where you [...] began; then see how many Feet and Inches the String [...], and set it down for the Compass or Round; then t [...]ke the Height by the same Method.

Glasie [...]s are to take the Depth and Breadth of their Work, [...]nd multiply one by the other, dividing by 144; Glass being measured as Board.

[Page 194]Having thus shewn the Methods of casting up Dimensions, I come now to Particulars; and the first of

Glasiers Work, by the Foot.

If the Windows be square, multiply the Length by the Breadth, which will produce the Content, as abovesaid.

Examples.

A Window glaized By Cross Multiplication. [...]

If the Windows are arched, or have a curved Form, no Allowance is made by reason of the extraordinary Trouble, and Waste of Time. Expence or Waste of Glass, &c. And the Dimensions are taken from the highest Part of the Arch down to the Bottom of the Window, for the Height [...] Length; which multiply by the Breadth, and the Produ [...] will be the Answer in Feet, &c.

Glasiers are often so very nice, as to take their Dimensions, and to measure to a Quarter of an Inch.

[...]

Glass is measured by the Foot, as said before; and th [...] Price of Work in England, in Sterling Money is as follow [...] viz.

[...]nglish Glass per Foot
0—5
[...]rench and Crown Glass
1—0
Common Work, Leading included, for every Foot square
0—6
New Leading old Glass per Foot
0—3
Common Diamond Squares, each
0—1

Painters Work by the Yard.

WHEN the Wainscoat of a Room is painted, you are to measure round the Room with a Line, as hinted [...]efore, without girting the Mouldings, which are to be [...]easured by a String, and added to the other; then multi­ [...]ly the Compass by the Height, with the addition of the [...]ouldings, &c. and you have the Content in Feet and In­ [...]hes, which reduced to Fee [...], bring into square Yards by [...]ividing by 9.

Example 1.

[...]

Example 2.

If the Height of a Room painted be 12 Feet 4, and the [...]ompass 84 Feet 11; what square Yards doth it contain? [...]nswer, 116 Yards 3 Feet 3 ⅔.

[...] Note, Double Work is al­lowed in Window-Shutters; Sash-Frames and Mantlepieces are reckoned by themselves, unless the Mantlepieces stand in the Wainscoat, and then they are to be measured as plain Work, deducting nothing for the Vacancy.

[Page 196]

Prices in England. s. d.
Common coloured, 3 Coats in Oil, per Yard 0 [...]
On old Colour 0 [...]
Walnut-tree Colour 1 [...]
Marble Colour, from 16 d. to 2 [...]
Sash-Frames, each 1 [...]
Sash-Lights, each 0 [...]
Window-Lights, one with another 0 [...]
Iron [...] 0 [...]

Joiners Work.

WAINSCOATING, the Dimensions are taken as [...] Painting, viz by measuring the Height (indentin [...] the String where ever the Plane goes, as well as the Painter do where ever the Brush goes) and then the Comp [...]ss; whic [...] m [...]ltiply one into the other, dividing [...]he Product by 9, and the Quotient is the Answer in square Yards.

Example.

What is the Content of a Piece of Wainscoating that is 9 Feet 3 Long, and 6 Feet 3 broad?

[...] The Length and Breadth being multiplied together, brings it into square Feet which divided by 9, (th [...] square Feet in a Yard) pro [...]duces 6 Yards ⅔ for the A [...]swer, as per Margin.

[Page 197] Once more.

There is a Room wainscoate [...], [...]he Compass of which is 47 [...] 3 Inches, and [...]he Height 7 Feet 6 Inches; what's the [...] in Yards squ [...]re? Answer 39 Yards ⅓.

[...]

The Prices per Yard. s. d.
[...] good Wainscoat 6 0
[...]ainscoating, not finding S [...]uff, &c. 2 0
[...]arse Wainscoating 1 0
[...] Wainscoat, finding Stuff 3 0
[...] finding Stuff 1 6

Carpenters Work.

ROOFING, Flooring and Partitioning▪ the principal Ca [...]pentry in modern Building, are measured by the [...]uare of 10 Feet each Way, that is 100 square Feet.

For Roofing, multiply the Depth and half Depth, by the [...]; or the Front and half Front by the Depth, and [...] have the [...]ontents.

The Dimensions are taken in Feet and Inches.

Example.

How many Squares doth that Piece of Work contain that [...]easures 199 Feet 10 Inches in Length, and 10 [...]eet 7 Inch­ [...] in Height? Answer 21 Squares, 14 Feet, 10 Inches [...]/6.

[...]

This Work is done by cutting off two Places toward the right Hand, and the Number on the Left are Squares, &c.

[Page 198] Again.

If a Floor be 49 Feet 7 Inches 4 Parts long, and 26 Fee [...] 6 Inches broad; how many square Feet?

The Operation by Cross Multiplication.

Feet. In. Parts.
49 7 4
26 6 0
294 0 0
980 0 0
15 2 0
24 6 0
  3 [...]
  8 8
  0 2
13 | 14 8 4 Answer 13 Squ. 14 Feet, 8 In. 4 Fts▪

Note, In measuring Roofing, no Deduction is made [...] Sky-Lights, Chimney Shafts, &c.

In measuring Flooring, take the Dimensions of the [...] Floor at once in Feet, and then measure the Content in [...]perficial Feet of the Vacancy for the Stairs, Hearths, &c which deduct from the whole Floor, and the Remainder the true Content; which bring into Squares as before.

Note, In Partitioning, you must measure the Doors, Do [...]cases and Windows, by themselves, and deduct their [...] out of the Whole; except by Agreement they are included; [...] then you must mention in the written Agreement, Doors, Do [...]cases and Windows, included.

There are divers Sorts of Carpenters Work belonging to Building, viz. Cantaliver-Cornice, Modilion-Cornice, Plai [...] Cornice, Guttering, Rail and Ball [...]sters, Lint [...]le, Penthouse Cornice, Timber-front, Story, Breast-sommers, Shelvin [...] Dressering, &c all which are measured by Li [...]eal, or Run [...]ning Measure. There are also [...]oors and Door-cases, Lant [...]horn-Lights, with their Ornaments, Balcony-Doors an [...] Cases, Cellar-Doors and Curbs, Columns and Pilasters, Cupo [...]la's, &c. all which are valued by the Piece.

Carpenters Wo [...]k in England is done at the followin [...] Sterling P [...]ices, viz. l. s. [...]
Flooring, finding Boards, the Square 1 15 [...]
Not finding Boards, from 2 s. 6 d. to 0 [...] [...]
Roofing with Oak 2 00 0
Not finding Timber 0 12 0
Partitioning per Square 0 15 0
Not finding Timber 0 07 6
Stairs with Rails and Ballusters compleat 1 10 0
Sawing of Oak and Elm per 100 Feet 0 02 6
Trees for Fences 0 02 0

Oak Timber is commonly sold for 40 s. p [...]r Tun that is 40 Feet square in the Place; Ash 30 s. and Elm 28 s. per Tun.

Note, Carpenters measure the Timber Frames of any Build­ing (which they call the Carcase) by the Square of 10 super­ficial Measure, or 100 square Feet, as hinted before.

Bricklayers and Tylers Work. Of Walling.

WALLING is measured by the Rod Statute-Mea­sure, being, 272 Feet and ¼ superficial. The Me­ [...]hod of taking their Dimensions is thus: For a Wall round [...] Orchard or the like, they measure the Length by a Line going over the Buttresses; and for the Height, they measure over the Mouldings (pressing the Line into them) even to [...]he Middle of the Coping: They likewise take Notice [...] the Thickness of the Wall, that is, how many half [...]ricks in Length the Wall is in Thickness; for three half [...]ricks, that is, a Brick in Length, and one in Breadth, is [...]tandard Thickness; And all Walls, whether less or more, [...]ust be reduced to that Thickness, by this Rule, viz. Mul­ [...]iply the Product of the Length and Height, by the Num­ [...]er of half Bricks that the Wall is in Thickness; which Product divide by 3, and then the Quotient by 272 (the ¼ [...]eing generally neglected in Vulgar Working) and the Quo­ [...]ent will be Rods, at a Brick and half thick Standard [...]easure.

Example.

Admit the Face of the Wall measure 4085 Feet, and the [...]hickness be two Bricks and a Half, or five half Bricks [...]hick, how many Rods doth it contain?

[Page 200] [...]

When the Work is wrought Decimally, then you divide by 272 ¼, or 272, 25, which gives the Quotient somewhat less. But the Measuring of Brick-Work may be shortened by having the Rod of 16 Feet ½ centesimally divided into 100 equal Parts, with which you take the Dimensions, and the Length of the Wall in those Rods; and 100 Parts multipli­ed by the Height, give the Content in Rods, of any Wal [...] that is a Brick and half Thick. Deduction must be made for Doors, Windows, &c.

A Table to reduce Brick-Work to Standard Measure, i. [...]. [...] Brick and a Half Thick.

[...]

Example.

Suppose a Garden-Wall to be 254 Feet round, and 12 Feet 7 Inches high, and three Bricks thick; how many Rods doth it contain?

[...] In this Operation, the Ag­gregate, or Total, is multi­plied by 2, because twice 3 is 6, the Number of half Bricks; and that reduces the Work to Standard-Measure, as by the Table above.

[Page 201]

Of Chimnies.

This Brick Work is commonly agreed for by the Hearth, and also sometimes by the Rod; and the Method of taking Dimensions is thus: If the Chimney stands singly, not lean­i [...]g against, or being in a Wall, and worked upright over the Mantle-tree to the next Floor; it is girt about the Breast for the Length, and the Height of the Story is taken for the Breadth, and the Thickness of the Jaumbs for the Thick­ness. But if the Chimney stands against, or in a Wall, which is before measured with the rest of the Building; then the Breadth of the Breast or Front, together with the Depth of the two Jaumbs, is the Length; the Height of the Story the Breadth, and the Thickness of the Jaumbs the Thick­ness; but if the Chimney stands in the Corner of a Room, and have no Jaumbs, then the Breadth of the Breast is the Breadth, the Height of the Story the Length, and the Thick­ness the Thickness. And for the Shaft it is commonly girt [...] the smallest Part, for the length▪ and the Thickness of [...]oth Sides, for the Thickness; in Consideration of the Widths, Pargiting, Scaffolding, &c.

Note, There is nothing to be deducted for the Vacancy be­ [...]ween the Hearth and the Mantle-tree, because of the Widths and the Thickening for the next Hearth above.

Arches are measured by taking the Breadth and half the Breadth of the Arch, and add them together; and then to multiply the total by the Length, for the Content in Thick­ [...]ess of the Arch.

Gable Ends.

Take half the Perpendicular for the Breadth, and the Width of the House for the Length, or half the Width of [...]he House for the Breadth, and the Perpendicular for the Length; which brings the Measure to an Oblong, which is easily measured by multiplying the Length by the Breadth, &c.

Note, A Perpendicular is a down or upright Line in the [...]ork thus; There are several other Things in Bricklayers Work; [...] Cornice, Facias, Streight Arches, Scheme Arches, Hips and [...]lleys in Tiling, and Water-Courses· All which are measured [...] the Foot-Lineal, or Running Measure. Also Peers, Pilaste [...] R [...]stick Work, &c. which are valued by the Piece. Eng [...]ish [...]rices in Sterling Money.

  l. s. d.
[...]or Walls, finding Materials 5 00 0 per Rod,
Not finding Materials 1 10 0 ditto,
For Tyling, finding Materials 1 05 0 per Square.
Not finding Materials 0 05 0 ditto.
For Tyling, finding Materials (ex­cept Tiles) that is 15 Feet square 0 10 0 per Rod,
For stripping without taking down 0 05 6 ditto.
With taking down 0 07 0 ditto.
For Pointing 0 02 0 ditto.

Paving.

Pavement for Cellars, Wash-ho [...]es, &c. is measured by the Square Yard.

Example.

If a Cellar, Wash-house or Court-Yard, be paved with Bricks, or pitched with Pebble, being 9 Yards 2 Feet long, and 6 Yards 2 Feet broad; how many Yards square doth it contain? Answer, 64 Yards 1 and 4 Feet, as by the fol­lowing Work.

[...]

Here the Answer is found by three different Operations, and the Resul [...] of each, to the same Amount, viz. by Cross Multiplication, by Practice, &c.

Slating.

Is valued by the Square of 10; in some Places by the Rod of 18 Feet square; that is 36 square Yards, or 324 Feet.

☞ In Tyling and Slating, where there are Gutters and Valleys, there is commonly Allowance, which is to take the Length of the Roof all along upon the Ridge, which makes [Page 203] the Gutter double Measure; which in some Places is allowed, in others not. Sometimes there is an Addition for hollow Ware, that is, Ridge Tiles, Gutter Tiles, Corner and Dormer Tiles; and here Customs differ: For in some Places they account one superficial Foot for every Foot lineal or run­ning Measure; then 100 Feet lineal is reckoned a Square. In other Places, for every 100 of such Tiles they reckon one Square.

Plaistering.

Is of two Kinds, viz. First, Work lathed and plaistered, sometimes called Ceiling. Secondly, Plaistering upon Brick-Work, or between the Quarters in Partitioning, by some called Rendering; both which are measured by the [...] square, as the Joiners and Painters do. In taking Di [...]n­sions of Ceiling, if the Room be wainscoated, they consider how far the Cornice bears into the Room, by putting up a Stick perpendicular to the Ceiling, close to the Edge of the uppermost Part of the Cornice; and measure the Distance from the perpendicular Stick to the Wainscoat; twice which Distance must be deducted from the Length and Breadth of the Room taken upon the Floor, and the Remainder is the true Length and Breadth of the Ceiling: As suppose a Floor is 24 Feet long, and 18 Feet broad, and the Cornice shoots out 6 Inches; deduct a Foot for both Ends, and the Length of the Ceiling is 23 Feet; and the same for the Breadth; it leaves 17 Feet broad; which (if the Room be square) mul­tiplied together, the Content is 391 Feet, or 43 Yards and a Half. [...]

If the Ceiling of a Room be 19 Feet 10 one Way, and 17 [...]eet 6 the other, how many square Yards does it [...]

[Page 204] [...]

Example 2.

How many Yards square are there in a Piece of Plaistering [...] is 47 Feet 4 Inches 7 Parts long, and 18 Feet broad [...]

In measuring Partitioning for Doors, Windows, and other Vacancies, there must be an Allowance or Deduction made they being Deficiencies.

Prices per Yard in England. s. d.
For every Yard of common Plaistering, finding Laths, Nails, &c. 0 9
Not finding Laths 0 4 ½
For White-washing with Size 0 1 ½
Partitioning, finding all Materials 0 8

Masons Work.

THE Masons Work, consisting of Stone, is of two Sorts viz. Superficial and Solid. Pavement, and the Face of Stone Walls, Houses, &c are measured as Brick work If the Work have Ornaments, as Capitals, Pilasters, Rails and Ballusters, &c. then they are valued by the Piece.

English Prices. s. d
For every Foot of Plain Work in Walls, &c. 0 8
For plain Cornice, about 1 [...]
For rough Stone Wall, with Lime, 16 Feet ½ long and 1 Foot high per Rod 1 2
Without Lime, per Rod 0 3
Paving, digging the Stone, and all Workmanship, per square Foot 0 3

Prices of Stone and Urns.

Rough Paving 1 d. per Foot; Rough Asher, or Coping, 1 d ½ per Foot; Fine Asher 3 d. per Foot; Base per Foot 4 d. Carbe per Foot, 6 d. Urns 3 Feet high, 1 l 4 Feet high 1 l. 10 s. 5 Feet high 2 l. and 6 Feet 3 l.

Glaziers Work.

IT may be done thus; Multiply the Length in Inches and Parts, by the Breadth in Inches and Parts, and separate the Decimals (if any) as before shewn,

Example.

[...]

So the Content is 1 f. 5 and ⅙ of an Inch.

Here, after the two Places are separated by a Comma, the Remainder is divided by 144, and then what remains by 12, &c.

Or thus, as if Shillings and Pence.

[...]

An Expeditious Way.

When the Length of any Superficies, either of Board or Glass, is given in Feet, and the Breadth in Inches, then only multiply the one by the other, and divide by 12, and the Quotient will be the Answer in Feet, and the [Page 206] Remainder will be the Parts of a Foot; as hath been spoken of before.

Example.

Admit a Window to be 15 Feet long, and 12 Inches broad.

[...]

Of Board Measure.

WHENEVER the Breadth is given in Inches, an [...] the Length of the Board in Feet, then only multi [...]ply one by the other, and divide the Product by 12, and the Quotient will be the Answer in square Feet: But if the Breadth and Length be given both in Inches, then multiply one by the other, and divide by 144, and the Quotien [...] will be the Answer in square Feet.

Example 1.

Suppose a Board (or any other thing of flat Measure) be 15 Inches broad, and 16 Feet long, what is the Content in square Feet?

[...]

Here the Example is wrought both Ways, as abovesaid, and the Answers are both alike.

Example 2.

Suppose a Board be 8 Inches and ¼ in Breadth, and 16 Feet long; what is the Content in square Feet? The [...] follows.

[...]

In this Example, I multiply by 4 and 4, the componen [...] Parts of the Ratio's of 16 th [...] Length.

[Page 207] Example 3.

Again, admit a Board 17 Inches ¾ broad, and 28 Feet [...], what is the Content?

[...]

This Example is multiplied by 7 and 4, the Ratio's of 28 the Length.

Once more by the other Way. Suppose a Board be 32 [...]nches broad, and 37 Feet, or 444 Inches in Length; what [...] the Content? [...]

The Parts of a Superficial Foot is 144 square Inches, Inches.

  • 72 half a Foot
  • 108 three Quarters.
  • 126 three Quarters and half a Quarter.
  • 36 a Quarter of a Foot.
  • 18 half a Quarter.

In the last Work, I multiply 444, the Inches of the Length, by 4 and 8, the component Parts of 32, the Inches [...] the Breadth; and then divide the last Product by 144, [...] the Answer is 98 Feet, and 96 square Inches remain, [...]hich is two Thirds of a Foot.

Mr. Darling, In his Treatise of the Carpenter's Rule, hath [...] great Pains, (and no doubt with as great Care) given a [...]eat many Tables for the Answer of sundry Dimensions in [...]ard and Timber Measure; but he measures best, that doth [...] experimentally by Arithmetick, by those short and easy [Page 208] Rules before and hereafter mentioned, and takes not Things upon trust; for tho' Tables may be right, so perhaps they may be also wrong (for Error is endless) and then to be whol­ly guided by such Tables, it would be of sad and very per­nicious Consequence; and if the Artist is ignorant of Arith­metick, he will be bewildered and plunged into inextricable Difficulties.—I must confess that Tables are of considerable Help in case of Expedition; but then you must be very well acquainted with them; otherwise I can in much less time cast up the Dimensions, than you shall be in finding out your se [...]veral Numbers, and adding or substracting them, &c. No Man that is wise, ought to depend upon any Table for his Government, till he hath proved the Truth of every Line, and he that is able to do that, is capable of making any Table for his own Use; which if he takes care that it be correct, he is well provided, and need not be led into Erro [...] or Confusion by false Tables.

Of Land Measure.

LAND is usually measured by the Acre; the Dimen­sions are taken with a Pole of 16 Feet and a Half; or a Chain called Gunter's Chain, consisting of 4 Poles in Length, and is divided into 100 equal Parts, called Links, answering to Decimal Arithmetick.

Note, 1 Acre contains 160 square Poles; 1 Rod or Quar­ter of an Acre, 40 square Poles.

Note also, In any Number of Chains are so many 10 [...] Links, as 4 Chains are 400 Links, and 6 Chains is 600 Link [...] &c. In a square Chain are 16 square Poles; and if you divide 160 (the square Poles in one Acre) by 16 (the square Poles in a Chain) the Quotient is 10, the square Chains in 1 Acre.

A square Chain contains 10,000 square Links, (or 100 multiplied by 100) and consequently 1 Acre contains 100,000 square Links.

To measure a Geometrical, or True Square.

A Square is contained under 4 Equal Sides, and 4 Right Angles.

Let Figure 7, represent a square Piece of Land to be measured, every Side whereof is 20 Poles; multiply 20 by 20, being both the Length and Breadth, and the Product [Page 209] [...] 400, for the Content in square Poles, which divide by [...] (the square Poles in 1 Acre) and the Remainder 80 by [...] (the square Poles in 1 Rod) quotes 2 Acres, and 2 [...]ods for the Content, as in the Operation.

[...]

Note, The square Root of the Area of any Square is the [...] thereof; as in Fig. 7, the Area or Content is 400, whose [...]uare Root is 20, the Side of the Square.

To measure a Parallelogram, or Long Square.

A Parallelogram, is contained under 4 Right-angles, but [...] 4 equal Sides; yet the opposite Sides are equal.

Admit Figure 8, to be a Parallelogram, or Long-Square, [...]ose Length is 21 Chains, 36 Links, and Breadth 11 [...]ains, 64 Links; what is the Content of that Piece of [...]?

The Method of casting up the Contents of any Dimen­ [...]ns taken with Gunter's Chain, is to multiply the Chains [...] Links together, and cutting off 5 Figures towards the [...]ght-hand, the Remainder on the Left-hand will be Acres; [...] multiply those Figures towards the Right-hand by 4, [...] from that Product cut off 5 Figures as before; so will [...] Figure on the Left-hand be Rods: Again multiply the [...]mainder last cut off by 40, cutting off also from the Pro­ [...]ct 5 Figures to the Right-hand, and the Figures towards [...] Left-hand will be Poles; and if there be any Remainder will be Decimal Parts of a Pole. So in the present Ex­ [...]ple, the Answer is 24 Acres, 3 Rods, 18 Poles, and [...]/ [...] Parts of a Pole.

[Page 210] [...]

To measure a Rhombus.

A Rhombus or Diamond like Figure, is contained [...] 4 equal Sides, but not Right-Angles; yet the [...] Angles are equal.

Admit Figure 9 to be a Rhombus, whose Side is 16, [...] Perpendicular 14; which multiplied together, the Product [...] 224, for the Area.

To measure a Rhomboides.

A Rhomboides is contained under 4 Lines, whose oppos [...] Sides are equal, and opposite Angles equal; yet not all [...] Sides, nor any Right-Angles.

Admit Figure 10, to be a Rhomboides, whose Length 22, and perpendicular, or parallel Distance, 8, which m [...]tiplied together, the Product is 176, for the Area.

To measure any Manner of Triangle.

Every Triangle is half that Long-square, whose Leng [...] and Breadth is equal to the Perpendicular and Base. Ther [...]fore from the greatest Angle, draw a Line perpendicular [...] the Base, which multiply by half the Base, and the Prod [...] is the Area.

Admit Figure 11 to be a Triangle, whose Base or long Side is 26 Poles, and the Perpendicular 16 Poles, [...] [Page 211] multiply together, and the Product is 416, for the Area of the Long-square EFCB, half of which is 208, the Area of the Triangle ABC.

Or if you multiply the Base 26, by 8 the half Perpendi­cular, the Product is 208, the Area as before.

Or else multiply half the Base 13, by the whole Perpen­dicular 16, the Product is 208 as before.

To measure a Trapezium.

A trapezium is contained under 4 unequal Sides, and 4 unequal Angles.

Admit Figure 12 represent a Field; to measure which draw the Diagonal DB; so is the Figure divided into two Triangles, which you may measure according to the last Example, by letting Perpendiculars fall from the Angles A [...]nd C, upon the Diagonal DB, which will be the Base Line [...]o each Triangle.

But with more Brevity, you may add the two Perpendi­culars together, and multiply the Sum of them by half the [...]a [...]e, and the Product will be the Area of the Trapezium.

Suppose the Sum of the two Perpendiculars is 22 Poles, and [...]alf the Base is 14 Poles, which multiplied together, the Product is 308, the Area in square Poles; or 1 Acre, 3 Rods, and 28 Poles.

To measure any irregular Piece of Land.

First, take care that the whole Plot be divided into Trapeziums and Triangles, according to your own Fancy, [...]nd the Nature of the Thing will bear; then measure those Trapeziums and Triangles, as is before directed, and add the [...]veral Contents together; so will the Sum be the Content [...] that irregular Figure.

Admit Figure 13 represent a Field to be measured, which [...] divided into one Trapezium, and two Triangles, as the [...]igure directs.

Now to find the Content of this Figure, measure the [...]rapezium and Triangles as before directed, and add them [...]gether as followeth.

Trapezium FBCE
234
Triangles ABF
69
Triangles ECD
46

The Area of the Figure ABCDEF, 349 square Poles.

[Page 212]

Of a Circle.

Figure the Fourteenth.

A Circle is contained under one Line, called the Circum­ference or Periphery; as ABC. All right Lines drawn from the Center E to the Circumference, are equal, and called Radius's, or half Diameters; and the long Line through the Centre from A to C, is the Diameter.

To divide a Circle into 6 equal Parts, extend the Com­passes to half the Diameter, as from A to the Centre E and the Extent will do it.

Half the Semi-circle of the Circle, that is, half of the Half of the Circle, is called a Quadrant, or Quarter.

If the Diameter of a Circle be 7 Inches, or 7 Feet in Length; then is the Periphery or Compass 22 Inches, or 22 Feet about.

Example 1.

If the Compass of a Circle be 66 Feet, what is the Diameter?

Multiply 66 by 7, and divide the Product by 22, and the Quotient gives the Diameter.

[...]

Example 2.

If the Diameter be 21 Inches, what is the Circum­ference?

The Operation is just the Reverse, viz.

[...]

[Page 213]If a Globe be 31 Inches 3/7 in Compas, what is the Dia­meter?

Work'd Fractionally thus:

Say 7 times 1 is 7, and 3 the Numerator makes 10, 0 and carry 1; then 7 times three is 21, and 1 carried is 22: So the Product is 220 the Dividend; which divide by 22, agreeable to the Proportion before mentioned.

Example of Operation.

[...]

Example 3.

Contra. If a Circle be 10 Inches Diameter, what is the Circumference?

[...]

To measure the superficial Content of a Circle, either in [...]ches or Feet.

Rule, Multiply half the Periphery or Compass, by half [...] the Diameter, and the Product will be the Content.

Example.

Admit a round Table to be 14 Inches Diameter, and 44 [...]tto in Compass; what's the superficial Content in square [...]ches?

[...]

Or if the Diameter be squared or multiplied into itself, [...] that Product multiplied by 11, and the Result thereof [...]vided by 14, gives the same Content.

[Page 214] Example. [...]

Figure the Fifteenth.

To measure half a Circle or round Table, viz.

Rule. Square the Semidiameter GD, and that Product mul­tiply by 22, and divide by 14; so the Answer is 77 square superficial Inches. [...]

To measure the Quarter or Quadrant of a Circle.

Rule. Multiply the Line CE into itself, and proceed as be­fore; but multiply the first Product by the Half of 22, viz. 11

Decimally ought to be thus.

[...]

[Page 215]The Decimal Work produces [...] equal to half an the same Answer as the other Inch, and 7/14 or viz. — half of half an Inch.

By these Methods may a Piece of Timber, that is half round, or a Quarter round, at the Base or End, be measur'd; that is, by multiplying the square Inches at the End by the Inches of the Length.

Solid Measure.

IS that which hath Length, Breadth, and Thickness, as Timber, Stone, and such like, which are measured by the Foot; and herein you are to observe, that a Foot of Timber or Stone, is accounted a Foot square every Way, in the Form of a Dye, which hath six Sides.

The Rule for working is to multiply the Length and Breadth together, and that Product by the Depth or Thick­ness, and the last Product will be the Content in Cubick In­ches; which if Timber or Stone, divide by 1728, (the Cubick Inches in a solid Foot) and the Quotient gives the Content in solid Feet.

Example.

Admit Figure the 16th to represent a Solid in Form of a Cube; whose Length, Breadth and Thickness, is 12 Inches; multiply 12 by 12, and the Product is 144, which multiplied by 12, the Product is 1728, for the Content in Cubick In­ches: Hence it appears that a Cubick Foot is 12 Times more than a Superficial Foot; so that a Superficial Foot is 144 In­ches, and a Cubick Foot 1728 Inches.

The Dimensions of Timber are considered in Breadth, Thickness and Length; the Breadth and Thickness are com­monly called the Square.

Note, The Parts of a Solid Foot, being 1728 Inches,

  • Three Quarters
  • Half
  • A Quarter
  • Half a Quarter.

of a Foot is

  • 1296
  • 8 [...]4
  • 432
  • 216

Inches.

  • [...]0
  • [...]0

Solid Feet of

  • round
  • hewn

Timber is a Tun or Load.

[Page 216] Example.

If a Tree be 16 Feet long, and 18 Inches square, how many solid Feet doth it contain?

[...]

Example 2.

Suppose there is given a Square Piece of Timber, [...] Bread [...]h is 2, 25, and Thickness 1, 64 Feet, and Length [...] Feet, how many solid Feet are contained therein?

[Page 217] [...]

Example.

Suppose a Piece of Timber be 15 Inches square; that is, 15 Inches broad, and 15 Inches thick, and 16 Feet, or 192 Inches long; what is the Content of that Piece of Timber or Stone (or any other thing that is to be measured by Cube or solid Measure) in solid Feet?

[...]

So the Answer is 25 Feet of solid Timber in such a Piece, or in such a Stone of such Dimensions.—

Or if you multiply the Content of the Square by the Length in Feet, and divide that Product by 144, the Quotient will give the same Content or Answer as before, Se [...] the following Work.

[Page 218] [...]

A second Example in this, may be after the second Ex­ample in Board Measure. That is, suppose a Piece to be Inches one Quarter Square, and the Length 192 Inche [...] what is the Content?

[...]

Answer, 7 Feet and half, and 108 Cubic Inches.

Decimally.

[...]

Another Example. Suppose a Piece of Timber to be [...] Inches three Quarters Square, and 28 Foot long, what is [...] Content?

17 Inches three Quarters multiplied into itself Decimall [...] the Product will be 315, 0625; which multiplied by [...] Length 336, the Product will be 105861, cutting off [...] four Cyphers, and the Answer will be 61 Feet, and 45 remains, being one Fourth of a Foot, and 21 Inches.

In superficial or flat Measure, having the Breadth of Board, or Piece of Glass given, to find what Quantity [...] Length it will take to make a Foot square.

Rule. Only make the Breadth in Inches Divisor to 14▪ the square Inches in a superficial Foot, and the Quotie [...] will be the Length in Inches that will make a Foot.

Example.

If a Board be 8 Inches broad, what Length of that [...] (or Piece of Glass) will make a Foot?

[Page 219] [...]

Again, If a Board be 16 Inches broad, what Length [...] will make a Foot?

[...]

This Method is manifestly true, from this Observation; tha [...] Board a Foot, or 12 Inches broad, will require a Foo [...] [...] 12 Inches in Length, to make it exactly square, or 14 [...]ches. And this is known without Operation. By this Me [...]od, may a Table of Board or Glass Measure be proved [...] Likewise in solid Measure to know what Length of th [...] [...]ece of Timber will make a Foot solid, you must make th [...] [...]ches squared Divisor to 1728, (the square Inches in [...] solid) and the Quotient will be the Answer in Inches [...] [...]ength, that will make a Foot solid.

Example.

If a Piece of Timber be 8 Inches square, what Lengt [...] [...] it will make a Foot?

[...]

Here the Square of 8 is 64, &c.

Again, Suppose a Piece be 18 Inches square, what Length [...] make a Foot? Answer, 5 Inches and one Third.

[...]

Once more: Admit a Piece of Timber be 2 Feet, 2 Inches [...], i. e. 26 Inches square, which is, &c.

[...]

So if a Piece be 10 Inches square, the Answer will be, that [Page 220] 17 Inches and 28/100 of an Inch is required for the Length. And thus may a Table of square Timber be proved.

In measuring of round Timber, the common Way is to take ¼ of the Circumference for the true Square, but it is erroneous, and gives the Solidity some what less than the true Content: But the true Way is to multiply half the Dia­meter by half the Compass, and then that Product multiply by the Length, which divide by 1728, and the Quotient is the Content. If you cannot come to measure the End of the Piece, you may know the Dia­meter [...] by this Proportion, viz. as 22 is to 7, so is the Compass to the Diameter. Or you may find the Square of a round Piece of Timber by this Rule, viz. multiply 3182 by the Inches of the Compass, and cut off 4 Fi­gures to the Right-hand.

Having the Breadth and Depth of a Piece of Timber [...] Stone, to know how much in Length of it will make a so [...]d Foot; multiply one by the other, and let it be a Divisor to 1728, thus: [...]

And thus you may make a Table to serve all Breadths and Depths, by which much Labour may be saved in multiplyin [...] and dividing, and yet measure any Piece of Timber thereby very exactly.

The usual Way for tapering Timber, is by this Method, viz. take the Dimensions in the Middle, and multiply that by the Length; which, though somewhat false, yet, i [...] done at several Lengths, as at every 5 or 6 Feet, it will b [...] very near▪

[Page 221]

Digging.

IS measured by the solid Yard of 27 Feet; that is, 3 times 3 is 9, and 3 times 9 is 27; by which are mea­ [...]red Vaults, Cellars, Clay for Bricks, &c. Other Things [...]re measured by the Flore of 324 solid Feet.

Example.

If a Vault or Cellar be digged 9 Feet deep, 4 Feet ½ long, [...]nd 3 Feet 9 Inches broad; what is its Content in solid Yards?

[...]

Example 2.

How many Yards of Digging will there be in a Vault that 25 F. 4 long, 15 F. 8 broad, and 7 F. ½ deep.

[...]

[Page 222] Example 3.

There is a Mote that is 648 Feet long, 24 Feet broa [...] and 9 Feet deep; how many Flores?

[...]

Solid Bodies being frequently painted, it is necessary [...] know how to find their Superficiality. To find the [...] Content of a Square, or many sided or round [...] multiply the Sum of the Sides or Circumference by [...] Height in Feet; and the Product divided by 9, the [...] will be all square Yards.

Of a Globe.

Multiply the Circumference in Feet by itself, and [...] that Product by this Decimal ,0354, and this last [...] will be the Content in Yards.

Note, A solid Yard square of Clay will make about 7 800 Bricks; and the Price of making is 7 or 8 s. Sterli [...] Thousand, 3 Bags (or Bushels) and half of Lime, and [...] a Load of Sand, to laying 1000 Bricks.

  • 500 Bricks make a Load.
  • 1000 Plain Tiles make a Load.
  • 25 Bags 1 C. of Lime.

To measure a Pyramid.

IF a Piece of Timber be right-lined, having but one [...] which is square, and ends in a Point, it is called a Py [...]mid; the solid Content of which is found by multiplying [...] superficial Content or Area of the Base, by one third [...] the Length. Or one third Part of the Area of the [...] multiplied by the whole Length, gives the Content also.

[Page 223] Example.

Suppose Figure the 17th, represent a Pyramid to be mea­sured, whose Breadth at the Base is 5 Feet, and the Length 15 Feet; what is the Content in solid Feet?

[...]

To measure a Cone.

IF a Piece of Timber be right-lined, having Length, and only one Base, which is round, equally decreasing, and [...]nds in a Point, it is called a Cone; the solid Content of which is found, by multiplying the Area of the Base, by [...]ne third Part of the Length; where Note (and likewise in [...]he Pyramid) the true Length is from the Centre of the Base [...] the terminating Point.

Admit Figure the 18th, represent a Cone, whose Dia­ [...]eter at the Base is 5 Feet, and the Length 15 Feet; what [...] the solid Content?

[...]

This Method may serve for tapering Timber, or of any [...] Thing of the Shape represented in Figures 17 and 18. The next necessary Qualification that I shall touch upon, [...] introduce a young Man into the Knowledge of Business, is [...] say something in Relation to the Art.

[Page 224]

Of Gauging.

THERE is a near Sort of Kindred or Affinity between the Art of Measuring of Timber, and that of Gauging or Measuring of Liquors; for both are performed by cube or solid Measure, and therefore not improper closely to follow one another: For as often as there are found 172 [...] solid or cubick Inches in a Piece of Timber (of what form soever) so many solid Feet is it said to contain. So likewise in the Art of Gauging, so many Times as 282 (the solid Inches in a Beer, or Ale Gallon) are found in any Vessel o [...] such Liquor, so many Gallons is such a Vessel said to hold. And so of Wine; but in that the Divisor alters, it being 231 solid or cubic Inches.

And the Gallon of Dry Measure, contains 271 ¼ cubica [...] Inches.

Note, Every cubical-Foot in Beer or Ale Measure, co [...] ­tains 6 Gallons, and almost a Pint.

The same in Wine Measure, is 7 Gallons, 2 Quarts, and al­most a Pint.

A cubical Foot of dry Measure contains 6 Gallons, and somewhat above half a Gallon.

For 141 Inches make 2 Quarts of Beer or Ale; 70 Inche [...] ½ one Quart, and 35 Inches ¼ a Pint.

To find the Content of any Vessel that hath the Form [...] a Cube, that is, a Figure whose Breadth, Depth, an [...] Length, are all equal, and is very well represented by th [...] Shape of a Dye commonly play'd withal.

Rule. Multiply the Side into itself, and then again tha [...] Product by the Side; which last Product, if for Beer or Ale, divide by 282, the Inches in a Beer or Ale Gallon; and fo [...] Wine, Brandy, &c. by 231, the cubical square Inches con­tained in a Wine Gallon.

Example.

Suppose a Cube, whose Side is 79 Inches, I demand th [...] solid Content in Beer and Wine Gallons?

[Page 225] [...]

To find the Content of a Parallelopipedon, which is a [...]igure contained under 6 Sides, of which the Opposites are [...]arallel, and of the Form of Figure the 19th.

Rule. Multiply the Length by the Breadth, and that Pro­ [...]uct by the Depth; and then divide by 282 for Beer or Ale, [...] 231 for Wine. Example

Admit the Length of a Cistern to be 95 Inches; and the [...]readth 62 Inches, and the Depth 23 Inches; what is the [...]ontent in Beer and Wine Gallons?

[...]

[Page 226]

To Gauge a Back, or Square Tun.

Example.

Suppose its Length 112 Inches, Breadth 72 Inches, and its Depth 48 Inches; what is its Content in solid Inches, and also in Beer Gallons?

[...]

To bring these Gallons into Barrels divide them by 36, the Gallons in a Barrel of Beer, thus.

[...] Answer, 38 Barrels and 4/3 [...] or [...]/9 of a Barrel; and as for the Remainder 168, it i [...] something above half [...] Gallon.

To find the Content of any Right Cylinder in Gallons that is, to compute the Content of any round Tun, Tub &c. whose Diameters at Top and Bottom are equal, and at Right Angles with its Sides.

Rule. Square the Diameter, which Product multiply al [...]ways by 11, and divide the Product by 14, and the Quo­tient will give the Content of the Tub at one Inch deep▪ then multiply the Quotient by the perpendicular Height of the Cask, and the Product is the Content in solid Inches.

Example.

Let Figure the 20th, represent a round Tub, whose Di [...]ameter is 72 Inches, and the Height 56 Inches, what is th [...] Content in Beer Gallons?

[Page 227] [...]

The aforesaid solid Inches brought into Gallons, make [...]08, and 232 solid Inches remain, something above three Quarters of a Gallon; in all 22 Barrels, 16 Gallons, and ¾ [...]f Beer.

[...]o find the Content of any round Tun, or Tub, whose Diameters at top and Bottom are parallel, but unequal.

Rule. First square the two Diameters, then multiply the [...]reater Diameter by the lesser, and to the Produ [...]t add the [...] former Squares; multiply the Sum of these three by 1/ [...] [...] the Depth, and divide the Product by 359 for Beer Gal­ [...]ns, or by 294 for Wine Gallons.

Example.

Suppose the Diameter at the Top be 30 Inches, the Dia­ [...]ter at the Bottom 36 Inches, and the Depth 24 Inches, [...]at is the Content in Beer Gallons?

[Page 228] [...]

To gauge a Butt, Pipe, Hogshead, Barrel or any othe [...] close Cask.

In order to perform this difficult Part of Gauging, [...] three following Dimensions of the proposed Cask must [...] truly taken in Inches, and decimal Parts of an Inch, viz.

1. The Diameter at the Bung within the Cask.

2. Either of the Head Diameters, supposing them both equal.

3. The Length of the Cask within.

In taking of these Dimensions, it must be carefully ob [...]served, that the Bung-hole be in the Middle of the Cas [...] and that the Heads of the Cask are equal and truly circula [...] if so, the Distance between the Inside of the Chine, an [...] the Outside of its opposite Staff, will be the Head Diamet [...] within the Cask, very near.

Having taken the Dimensions, the next Thing is to [...] such a mean Diameter, as will reduce the proposed Cask to a Cylinder, which may be found by the following Rules.

Substract the Head Diameter from the Bung Diameter, an [...] multiply the Difference by 0, 7, or by 0, 65, or by 0, 6, or by 0, 55, according as the Staves are more or less arching add the Product to the Head Diameter, and the Sum will be the mean Diameter required.

Note, The first of these four Rules, ( viz 0, 7) is commonl [...] used among [...]t Gaugers for all Sorts of Casks, but there ar [...] very few Cask [...] that will contain quite so much as this Rul [...] will make it. But if the second and third of these Rul [...] [Page 229] viz. 0, 65 and 0, 6) be duly applied, they will answer very [...]ear amongst the common Sort of English made Casks; and the [...]ourth Rule ( viz. 0▪ 55) will come pretty near the Truth in computing the Contents of Casks whose Staves are almost strait betwixt the Head and the Bung, viz. such as Wine Pipes, &c. Having found the mean Diameter, the Content of the Cask may be computed by either of the two following Rules.

Rule 1. Multiply the Square of the mean Diameter by the Length of the Cask, and divide the Product by 359 for Beer Gallons, or by 294 for Wine Gallons. Or thus,

Rule 2. Multiply the Square of the mean Diameter by 11, and divide the Product by 14; then multiply the Quotient by the Length of the Cask, and divide the Product by 282, for Beer Gallons; or by 231 for Wine Gallons.

Example.

Admit Figure 20, represent a Hogshead to be gauged, whose Bung Diameter is 31, 5, Head Diameter 24, 5 and its Length 42 Inches, what is the Content in Beer and Wine Gallons.

[...]

[Page 230]Or thus, by the second Rule.

[...]

To find the Quantity of Liquor remaining in a sphe­roidical Cask standing on its Head.

From the Area of the Bung Diameter, substract the Area of the Head Diameter, and multiply the Remainder by th [...] Square of the Difference between the wet Inches and th [...] Semi-length, and this Product divide by the triple Square o [...] the half Length, and substract the Quotient from the Are [...] of the Bung Diameter; then multiply the Remainder by the Difference between the wet Inches and the Semi-length, and the Product will be how much Liquor is con­tained in the Vessel above, or under its half Content,

Example.

Suppose

the Bung
40, 8
the Heads
35, 3
the Length
61, 8
the Wet Inches
41, 9

what is the Content in Beer Gallons?

[Page 231] [...]

  • 131, 25 the half Content of the Vessel.
  • 50, 45 the Liquor qt. above the half Content.
  • 181, 70 the Quantity of Liquor qt. in the Vessel.

[...]o gauge any thing that hath the Shape of a wooden Hand-Bowl, as the Bottom of a round Copper, &c,

Admit the Bowl to be full of Water; the first Thing is [...] measure the Surface of the Water; that is done by multi­ [...]ying half the Circumference by half the Diameter, and [...] gives the Content in superficial square Inches. Then [...]nd the Depth of the Water in different Places; then add [...]hose Different Depths together, and divide the Total by the Number of Depths that you take, and the Quotient gives [...]he mean Depth: When you have found the mean Depth, [Page 232] multiply it by the Number of Inches that you found on the Surface of the Water, and the Product gives the solid Square Inches, which reduce to Gallons, as taught before.

Example.

Suppose the Circumference be 120 Inches, the half of which is 60 Inches, and the Diameter admit to be 60 Inches, the half of which is 30 Inches; and suppose the several Depths to be 7, 8, 9 and 10, which put together make 34 Inches; which divide by 4, the Number of Depths quotes the mean Depth, viz. 8 ½ [...]

Some Uses of the Square and Cube Roots.

Rule. THE Root of the Product of any given Number, is the mean Proportional sought; so the mean Proportional between 16 and 64, will be 32; this is of good Use in finding the Side of a Square equal to any Pa­rallelogram, Rhombus, Rhomboides, Triangle, or regu­lar Polygon.

e. To find the Side of a Square equal to the Area of a given Superficies.

Rule. The square Root of the Content of any given Su­perficies is the Side of the Square.—So if the Content of a given Circle be 160, the Side of the Square equal will be 12 32/4 [...], or in Decimals 12, 6411.

[Page 233]

3. The Area of a Circle being given, to find the Periphery.

Rule. Say as 113 to 1420, or 1 to 12, 56637; so is the Area to the Square of the Periphery—So if the Area of a Circle be 160, the Periphery will be found to be 44, 84.

4. The Area of a Circle being given, to find the Diameter.

Rule, As 355 to 452, or as 1 to 1, 273239, so is the Area to the Square of the Diameter.

5. Any two Sides of a Right Angl [...]d Triangle being [...]iven, to find the third Side.

In this useful Problem lies hid a great Part of the Mathe­maticks; it being asserted and proved, that the Square of [...]he Hypothenuse, or longest Side of a Right Angled Triangle, [...] equal to the Sum of the Squares of the Base and Perpen­ [...]icular, that is, the other two Sides.

Example by the Adjacent Figure.

[figure]

Let the Base or Ground BA represent the Breadth of a Moat or Ditch, and the Perpendicular BC re­present the Height of a Castle, Tower, or City [...]all; and the Hypothenuse, or longest Side, represent the [...]ength of a Scaling Ladder.

In this Figure, the Base AB is supposed to contain 40 [...]ards; and the Perpendicular, or Height of the Tower or [...]all, 30 Yards; What length will the Hypothenuse BC, [...] the Scaling Ladder, be?

Rule. The Square Root of the Sum of the Squares of the [...] and perpendicular, is the Leng [...]h of the Hypothenuse, [...] per Work.

[...]

And if the Length of the Base, or Breadth of the Ditch, [...]ere required; then the Square Root of the Difference of the [...]quares of the Hypothenuse and Perpendicular is the Length [...] the Base, or Breadth of the Ditch or Moat. Example [...] Work.

[Page 234] [...]

And if the Height of the Tower or Perpendicular B were required; then the Square Root of the Difference [...] the Distance of the Square of the Hypothenuse and Base, the Height of the Perpendicular BC, representing a [...] a Wall, a Steeple, or any thing else.

Again, Any Number of Men given to be formed into Spuare Battalia, to find the Number of Rank and File.

Rule. The Square Root of the Number of Men give [...] will be the Number of Men to be placed in Rank and File.

Example. Admit an Army of 32400 Men were to [...] formed into a Square Battalia; the square Root of 32400 [...] be found 180; and so many Men must be placed in [...] and also in File.

The Uses of the Cube Root are to find out a Proportion between like Solids, as Globes, Cylinders, Cubes, &c.

Example.

Suppose a Bullet of 8 Inches Diameter weigh 72 Pound [...] what will a Bullet weigh whose Diameter is 4 Inches?

Rule. Since like Solids are in triple Proportion to the Sides, Diameters, Lines, &c. it holds; as the Cube of th [...] Diameter given is to the Weight thereof, so is the Cube o [...] the Diameter sought to the Weight thereof; as per Work, [...]

[Page 235] Example 2.

If a Ship of 100 Tons be 44 Feet long at the Keel, of what Length must the Keel be of a Ship that carries 220 Tons?

Say, as 100 is to the Cube of 44, that is, 85184; so is 120 to 187404, 8; whose Cube Root is 57, 225 the Length of the Keel sought.

Example 3.

There is a Cubical Vessel whose Side is 12 Inhces, and it is required to find the Side of a Vessel that holds three times as much. Here the Cube of 12 is 1728, which mul­tiplied by [...] and the Cube Root of which is 17, 306 the Answer re­quired, or Side sought.

An easy Rule to find the Length of the Masts of a Ship, viz.

Two Thirds of the Length of the Keel, and the Breadth of the Beam, is the Length of the Main mast; and the Rule is therefore, to multiply the Length of the Keel by 2, and to divide the Product by 5, and then to the Quotient add the Breadth of the Beam, and the Total is the Length of the Main-mast.

Example.

Suppose a Ship to be 108 Feet by the Keel, and 40 Feet by the Beam, what is the Length of her Main mast?

[...]

Answer, The Length of her Main-mast is 112 Feet as in the Work.

Again.

Admit a Ship to be 84 Feet by the Keel, and 31 Feet by the Beam, what is the Length of her Main-Mast?

[...]

[Page 236]If you divide first by 3, and then multiply the Quotient by 2, it gives the two Thirds of any Thing as well as the other Way.

Another Way to find the Length and Thickness of Masts in Yards, viz.

The Way to find the Length of the Main Mast, is to add the Breadth of the Beam, and the Depth of the Hold together, and divide the Total by 1, 5 and the Quotient will be the Length of the Main-Mast in Yards.

Example.

Admit a Ship whose Keel in Length is 73 Feet, and the Breadth of the Beam 28, 5 Feet, and the Depth of the Hold 12 Feet, what is the Length of the Main-Mast?

[...]

Answer, 27 Yards, or 81 Feet, as per Work.

Or if, instead of Dividing, you multiply by this Mul­ [...]plier, viz. ,6666 and point off the Decimals, you will have the same Answer.

[...] Here the Answer is 26 Yards and 99/100 of a Yard, not wanting one Second to make it 27 Yards, as before.

I here multiply the under by the upper Number to save both Figures and Room.

To find the Thickness of the Mast, having the Length▪ say, by the Rule of Proportion (or Rule of Three) If 8 [...] Feet long require 28 Inches thick, what 81 Feet long? [...] in the following Work.

[Page 237] [...]

[figure]

By Trigonometry, or the Doctrine of Triangles, are a Multitude of Questions solv'd, relating to Sailing on the Seas; to give one Instance. Suppose two Ships set Sail at one time, from one Place, the one sailing directly East 48 Leagues, as from C to B; and the other directly North, as from C to A, 36 Leagues; the Question is, how many Leagues are they distant or asunder one from the other? [...] which two Numbers added, give for Total the square Root of which is 60; and so m [...]ny Leagues are the two Ships asunder or distant one from the other.

Here the Distance of each Ship's Sailing is squared, and their Squares added together, and the Total is 3600; the square Root of which is 60, and the Answer to the Question, as in the Work.

And being here speaking something relating to Sea Affairs, it may not be improper to say something concerning the Mariner's Compass.

Before the Invention of this excellent and most useful In­strument, it was usual in long Voyages to sail by, or keep along the Coast, or at least to have it in Sight; as is mani­fest and plainly evident, by the Voyages of St. Paul, Acts xx.12; and 27; which Course made their Voyages long, [Page 238] and very dangerous, by being so near the Shore. But now, by the Help of a Needle touched by the Magnet or Load­stone, which by a wonderful and hidden Quality, inclines its Point always Northerly, the ingenious Mariner is di­rected in his proper Course of Sailing, through the vast Ocean, and unfathomable Depths, to his intended Port▪ And if the Wind is favourable, can sail near 333 League [...] or 1000 Miles in a Week, tho' in the darkest Weather, [...] darkest Night, when neither Land, Moon, nor Stars, are to be seen; which before, were the only Guide; and, [...] not seen, the Sailors were at great Loss, and exposed to the most imminent Danger.

Behold the Figure or Representation of the said Compass, with the Cardinal and other Winds that followeth.

[figure]

The Description.

1 st, The Cardinal Points are, the North, South, East [...] West Points of the Horizon. The Needle in the [...] points with its principal End to the Flower-de-luce, [...] shews its Direction Northerly: And the said Flower-de [...] is also placed in Maps to the same intended Purpose.

[Page 239]2 dly, The Letters N by E on the Right of the said [...]lower-de-luce, signifies, and is to be read North by East; [...]nd the next after it NNE ▪ that is, North North East; [...]nd the next NE by N. to be read North East by North; [...] so round the Circumference, which Mariners usually h [...]ve by Heart, particularly the Pilot, who guides the Ship [...]ccordingly; and sometimes he is helped by the Sight of [...]he North Pole Star when on this Side the Equator; and by [...]he South Pole, on the other Side.

The next Thing I shall proceed to, is to give the Sense [...]nd Meaning of some few Terms used in Dialing, Geogra­ [...]hy, &c.

A small Representation of the Globe.

[figure]

The Poles of the Equinoctial (commonly called the Poles [...] the World) are two fixed Points in the Heavens, op­ [...]osite one to the other, one pointing to the North, which therefore called the North, or Artic Pole, marked with [...] Letters N. P. and the other pointing Southward, and [...]erefore is called the South, or Antartic Pole, marked with [...] P.

[Page 240]The Axis of the World, is a Line imagined to pass through the Center of the Earth from one Pole to the other, as the Line N. P. S. P.

The Equinoctial in the Heavens, or Equator on the Earth, is an imaginary great Circle of the Sphere, which divides it into two equal Parts, to which the Sun apparently comes the 10th of March and 12th of September, and then makes equal Day and Night; it is noted by the Letters AE. Q.

The Ecliptick is a great Circle intersecting the Equi­noctial in two opposite Points, the Beginning of Aries, and the Beginning of Libra, and makes an Angle therewith of 23 Deg. 29 Min. represented by the Line ♋ ♑: It is di­vided into 12 equal Parts called Signs, each containing 30 Deg. which are as follow,

  • Aries
  • Taurus
  • Gemini
  • Cancer
  • Leo
  • Virgo

called Northern Signs.

Libra
Scorpio
Sagittarius
Capricornus
Aquarius
Pisces

called Southern Sign [...].

The Zodiack is a Zone or Gird [...], having about 9 De­ [...]rees in Breadth on each Side of the Ecliptick, and limits [...]he Latitudes of the Planets in their Revolutions.

The Meridian, from Meridies, Noon or Mid day, is a [...]ircle passing through the Poles of the World, exactly in [...]he Middle between the East and West; to which when th [...] [...]un comes every Day it is Noon. The Stars are also sai [...] [...]o be South, when they are upon the Meridian.

The Tropicks are two Circles parallel to the Equinoctial, and 23 Degrees 29 Min. distant therefrom, being the Bound [...] of the Sun's greatest Declination North and South. The North Tropick is marked with ♋ C, called the Tropick of Cancer; and the South Tropick with B ♑, called the Tro­pick of Capricorn.

The Zenith or Vertex is an imaginary Point in the Hea­vens directly over our Heads, as Z.

The Nadir is the Point opposite to the Zenith, and di­rectly under our Feet, as N.

The Horizon is a great Circle 90 Deg. distant from the Zenith and Nadir, which encompasses the Earth exactly in the Middle, and appears to every One standing in an open Plain, to divide the visible from the invisible Part of the Heavens. It determines the Rising and Setting of the Sun▪ Moon, and Stars, in any particular Latitude; as H. O.

[Page 241]The Latitude in Geography, or on the Earth, is the Heighth of the Pole of the World above the Horizon, which is always equal to the Arch of the Meridian between the Zenith and Equinoctial.

Longitude on the Earth, is an Arch of the Equator, contained between the Meridian of the Place where the Longitude is assigned to begin, and the Meridian of any other Place, and is accounted Easterly and Westerly.

Every Circle circumscribing the Earth, or Terrestrial Globe, is supposed to be divided into 360 equal Parts, cal­led Degrees; each of which is accounted 60 Miles; and if you multiply 90 the Quadrant or Quarter of the Globe, by 60, the Product will be 5400, which multiplied by 4, gives 21600 Miles for the Circumference of the Earth and Sea.

The next Thing I shall proceed to, is to say something in relation to the Art of making Dials: But it may, and is very proper, to describe and speak of the Use of a very necessary Instrument called a Quadrant, the Shape of which is here represented.

[figure]

[Page 242]This Quadrant, or Quarter of a Circle, is variously useful, on sundry Accounts, viz. to take Heighths and Distances, whether accessible or inaccessible; to find the Hour of the Day, &c.

Its Description.

The outward Arch is divided into 90 Parts or Degrees, (being the fourth Part of the Circle of the Sphere) an [...] figur'd from 10, 20, &c. to 90; above which Figures, are Letters signifying the 12 Calender Months of the Year, as J. for January, F. for February, &c. And again, over those Letters for the Months are Lines to know the Hour of the Day; And upon the Line CD, are Sights of thin Brass to be spied through, or for the Sun to shine through, from one to the other. Lastly, in the Middle, or Point of the Quadrant, viz. at A, is a Line or Thread of Silk fixed through a Hole, with a Plummet of Lead at the End of it and also a small Bead in the Middle.

Some of the many Uses of this Instrument are as follow▪

Of Heighths.

Suppose you would know the Heighth of a Steeple, Tower, or Tree; hold up the Quadrant, and view through the Sights the Top of the Steeple, Tower or Tree, and then step forwards or backwards, till you find the Plummet hang at Liberty just at 45 Degrees, that is, just in the Middle of the Quadrant; then is the Heighth of the Stee­ple, Tower, or Tree, equal to the Distance of your Stand­ing-place from the Bottom of the Steeple, adding for the Heighth that you hold the Quadrant from the Ground.

If the Plummet intersect one Quarter of the Quadrant, or 22 Degrees and a Half, then twice the Distance of your Standing is the Heighth; and if three Quarters of the Qua­drant, or 67 Degrees and a Half, then Half the Distance of your Standing is the Heighth.

To find the Hour of the Day.

Lay the Thread just upon the Day of the Month, then hold it till you slip the small Bead or Pins-head to rest on one of the 12 a Clock Lines; then le [...] the Sun shine from the Sight at C to the other at D, the Plummet hanging at Liberty, the Bead will rest on the Hour Line of the Day.

To find the Latitude of a Place.

Hold up the Quadrant, and thro' the Sights thereof (or along the Edge) spy (in a clear Star light Night) the North-Pole [Page 243] Star; the Plummet hanging at Liberty, the Thread [...]ill rest on the Degrees of Latitude of the Place you be in, [...] where you take your Observation. If at London, you [...]ill find it 51 Degrees and 32 Minutes. If at Bristol, 51 Degrees 27 Minutes. If at York, 53 Degrees 58 Minutes; and if at Berwick, 55 Degrees 54 Minutes, &c.

When it is said that such a Kingdom, Country, City, Town, or Place, lieth from 40 to 50 Degrees North Lati­tude, it is to be understood, that it lieth on the North Side of the Tropick of Cancer, or North Boundary of the Sun to­wards England, to which the Sun comes about the 10th or 11th of June, and makes our Days the longest. And about the 10th or 11th Day of December, the Sun enters the Tropick of Capricorn, its South Boundary, and is then the [...]arthest from us, and makes our Days the shortest.

Of Dialling.

Dialling is a very ancient Art, even as old as the Time of King Hezekiah, where mention is made of the Dial of Ahaz, in the 2d Book of Kings, Chap. xx. Verse 11.

The Gnomon or Substile of a Post or Horizontal Dial, [...]hould point directly South, and its Back will be then di­ [...]ectly North. The South may be truly known by a good Watch or Clock, just at Noon; for then the Sun is always [...]t the Meridian; and makes just 12 o'Clock; so that know­ [...]ng the South, it will not be difficult to find the North, it [...]eing its Opposite.

To fix a Dial North and South.

Fasten your Board on the Top of a Post, and then with your Compasses make 4, or 5, or 6 Circles, one within [...]he other, from the Center or Middle, where place a large [...] perpendicular or upright, and nicely observe when the [...]un shines in the Forenoon, on which Circle the Head of [...]he Pin shadoweth; then there make a Mark; and do the [...]ame in the Afternoon, when the Shade of the Pin's Head [...]omes on the same Circle; and from the Mid-way of the [...]wo Marks, draw a Line to the Center, on which place [...]our Meridian or 12 o'Clock Line; so will the Post Dial print North and South.

By the Meridian Line, you may also know when the Moon, or a Star of Magnitude, comes to the South; which when they do, they are always at the highest, whether by Night or Day.

[Page 244]But to proceed to Dialling, the following Figure 1 presents an Horizontal Dial, described for the Latitu [...] of Philadelphia, 40 deg. 00m. North.

[figure]

First, Draw the Meridian or 12 o' Clock Line BA ▪ and cross the same with the Line DE, at right Angles the Point A, which must be the Center of your Dial, [...] the Line DE, is the 6 o' Clock Line; then take [...] your Compasses 60 Degrees from a Line of Chords, [...] with that Extent, setting one Foot in the Center at A, [...] the other describe the Circle DOE, which done, take fro [...] the same Line of Chords, all the Hour-Arches in the f [...]lowing Table; and placing one Foot of your Compasses in (where the Circle crosses the Meridian) with the other, off the Hour Arches both Ways upon th [...] Circle DO [...]

Latitude 40 Degrees North.
Hours. Hour.
Fore­noon. After­noon. Arches D.M.
11 1 9 46
10 2 20 22
9 3 32 44
8 4 48 4
7 5 67 22

[Page 245]Against 11 and 1, is 9 Degrees and 46 Minutes, [...] with your Compass from the Line of Chords, and set­ [...]g one Foot in the 12 o' Clock Line at O, with the other [...]ake a Mark in the Circle both Ways; then draw streight Lines from the Center A, crossing the Circle in those two [...]arks, and you will have the true Hour Lines of 11 o'Clock the Forenoon, and one in the Afternoon. Then to draw [...] Hour Lines of 10 and 2 o' Clock, look in the Table [...] 10 and 2 Hours, against which you will find 20 De­ [...]ees and 22 Minutes, which take from the Line of Chords, [...] mark as the other from the 12 o' Clock Line both [...]ays on the Circle. The same is to be done for 9 and 3 [...]Clock; and also for 8 and 4 o' Clock; and the like for and 5 o' Clock.

Note, For 5 o'Clock in the Morning, and 7 in the Af­ [...]rnoon, which are below the 6 o' Clock Line, set off the [...] Distance as 5 and 7 above it.

Lastly, For the Heighth of the Gnomon or Stile, take [...] the Scale of Chords the Poles Elevation, which at [...]iladelphia is 40 Degrees, and set that Distance from O [...]P on the Circle, then draw the dotted Line APH, which [...] represent the upper Edge or Heighth of the Stile, to be [...] over the 12 o' Clock Line, and so your Dial is [...].

Of Upright Planes.

THOSE Planes are said to be Erect or Upright which stand perpendicular to the Horizon of the Place, [...]ose upper Part pointeth to the Zenith, and their lower [...] to the Nadir; and such are the Walls of Houses, [...], Steeples, &c. against which Dials are commonly [...].

Of Upright or Erect Planes, there are two Sorts, viz. [...]ect and Declining.

How to d [...]aw the Hour-Lines on a Direct South Plane, in [...] latitude of 40 Degrees, as described in the following presentation.

[Page 246]

[figure]

First, draw the Meridian or 12 o'Clock Line AB, [...] cross it with the Line DE, for the 6 o'Clock-Line, [...] with your Compasses take 60 Degrees from a Scale Chords, and placing one Foot at A, (where the 6 o' [...] Line crosses the Meridian) with the other draw the [...] Circle DOE.

Next for the Hour-Arches, you must take them [...] the following Table, and project them into the Dial, [...] the same Manner as in the Horizontal, only in this [...] must insert but 12 Hours.

Latitude 40 Degrees North.
Hours. Hour.
Fore­noon. After­noon. Arches D. M.
11 1 11 28
10 2 23 51 ½
9 3 52 33
8 4 37 00
7 5 19 17

[Page 247]Lastly, for the Heighth of the Stile▪ take from the Scale of Chords 50 Degrees (the Compliment of the Poles Ele­vation at Philad [...]hia) and setting that Distance from O to P, on the Semi-Circle, draw the dotted Line APH, which shall represent the Heighth of the Stile as in the Figure.

In making this Dial, you make two Dials; for the Erect Direct North Dial, is but the Back-side of the South; for as this beholdeth the South Part of the Meridian; so the other faceth the North Part of the Meridian; and as the Meridian Line in the South Dial shews when it is 12 a Clock at Noon, so the Back-side thereof, viz. the North-side, represents the Hour Line at 12 a Clock at Midnight, and therefore not expressed, nor the Hour-lines of 8, 9, 10, 11 at Night, or of 1, 2, 3, or 4 in the Morning, the Sun being never seen by us above the Horizon at those Hours▪ So that the North Dial is capable of only receiving the Hours of 5, 6, and 7 in the Morning, and 5, 6, and 7 in the Af­ternoon, and (in this Latitude) not all of them neither; for [...] shines not in this Plane at 8 a Clock in the Morning, nor [...] 4 in the Afternoon.

An Erect Direct North Dial.

[figure]

[Page 248]To draw Hour-line [...] on an Erect Direct East or West Plane—Hour-lines in these Dials must be parallel to one another, and the Dial not have any Center, but drawn as follows.

An East Direct Dial, in Latitude 40 Degrees.

[figure]

Let ABCD be the Dial Plane, on which is to be draw [...] a Direct East Dial, upon the Point D, if an East Dial; an [...] on the Point C, if a West. With the Radius (or 60 Degree [...] of the Line of Chords, describe the obscure Arch EF; the [...] from your Chords take 50 Degrees, the Compliment of th [...] Latitude of the Place, and set them from E to F, and dra [...] the Line DF quite through the Plane; then that you may pro [...]portion the Stile to the Plane, so that you may bring on [...] the Hours from Sun-rising to 11 a Clock, assume two Poin [...] in the Line FD, one towards the End D (as the Point G for the Hour Line of 11, and another at H, for the Hou [...] Line of 6; and thro' the Points G and H, draw the Lines 1 [...] G 11, and 6 H 6, then set one Foot of the Compasses at [...] (open'd to 60 Degrees) and describe the obscure Arch I [...] from your Scale of Chords take 15 Degrees, and set the [...] from I to K, and draw the Line GK, extending it to the a Clock Line in the Point L; so shall LH be of the Heigh [...] of the Perpendicular Stile proportioned to this Plane.

[Page 249]For the drawing of the Hour-lines, set one Foot of the Compasses (opened to 60 Degrees of the Chords) in L, and with the other describe the Arc [...] MN, between the Hour-line [...] and the Line GL; which divide into five equal Parts in the Points ☉ ☉ ☉ ☉ ☉ and a Ruler laid from the Point I to each of these Points ☉ ☉ ☉ &c. will cut the Equinoctial Line HI in the Points * * * * *; thro' which Points draw Lines parallel to 6 H 6, as the Lines 7 * 7, 8 * 8, &c. as may be seen in the Figure.

And thus you have made two Dials, viz. a West Dial as well as an East; only the Arch EF, through which the Equinoctial passeth in the East Dial, is drawn on the Right-hand of the Plane; but in the West it must be drawn on the Left; and the Hour Lines 5, 6, 7, 8, 9, 10, and 11 in the Forenoon, on the East Dial, must be 7, 6, 5, 4, 3, 2, and 1 in the Afternoon, upon the West Dial, as in the Fi­gure.

An Erect and Direct West-Dial.

[figure]

The Stile of the East or West-Dials, may be either a [...]reight Pin of the just Length of the Line HO in the other [...]igure, which is equal to HL in the East-Dial fixed in the [...]oint H, on the Hour Line of 6, and exactly perpendicular [...] the Plane, shewing the Hours by the Shadow of the Apex, [...] very near the Top thereof: Or it may be a Plate of Brass [...] the same Breadth with the Distance of the Hour-lines of [Page 250] 6 and 3; which Plate must be set perpendicular upon the Hour Line of 6, and so it will shew the Hour by the Sha­dow of the upper Edge thereof, as in the foregoing West Dial.

An easy Way how to fix a Dial North and South.

Fix a square Piece of Board like a Trencher on the Top of a Post, and with your Compasses draw 4, 5 or 6 Circles, one within another from the Center; in which Center fix a large Pin perpendicularly, and when the Sun shines in the Forenoon, note which Circle the Pin's Head shadeth, and there make a Mark: Do so in the Afternoon, when the Shadow of the Pin's Head comes on the same Line; and from the Midway of those two Marks, draw a Line to the Center; upon which Line lay your 12 a Clock or Meridian line of your Post Dial, because it directly points North and South. Thus by this plain Way, without any other Instru­ment, find the Situation of your Dwelling, whether full North or South, or whether it declines East or West, &c.

Of Beautifying and Colouring Dials.

FIRST, the Boards are to be brushed over with Linseed Oil, thinly ground with Spanish Brown, done over three or four times (drying between each time) a little thicker each time with the Colour; and this is called Priming.

To make the Fat Oil for Dials.

Boil Red Lead, and Linseed Oil, and a little Litherage [...] Gold (about a Pennyworth) together, till almost as thick [...] Syrup; and when cold, and well settled, pour the clearest into a Bottle or Bladder for Use.

The Gold Size for Dials.

Mix fine ground yellow Oker with the aforesaid fat Oil to such a Consistency, as when used, it may settle smooth of itself.

A Mixture for Hour-Lines.

Grind Vermilion or Lamp-Black with the fat Oil.

To draw Golden Letters or Figures for the Hours.

First draw them with a Pencil dipped in the Gold Size be­fore mentioned▪ which when so dry as just to stick to your Fingers, then with a smooth-edg'd Pen-knife shape your Leaf-Gold to your Mind; take it up with a Piece of Cotton Cloth fixt to the End of a Stick, and lay it on the Size▪ pressing it down with the same Cotton, and when dry, brus [...] off the loose Gold with a Feather, and smooth the rough [Page 251] Edges of the Letters with a Pencil dipped in red or black Colour.

Of the Dial Plane.

Let the Board be of the best season'd, finest, clearest Oak, one, two or more Feet square, and about three Inches thick. Take two Boards, and get them planed on both Sides, and then laid in the Sun-shine, or near a moderate Fire 2 or 3 Days together; then plane them again, and fix them with good Joints; and fasten them in gluing with wooden Pegs, as I have seen Coopers fix their Pieces of Heading for their Casks; and when thus glued and dried, plane them again, and then fasten them, by nailing two small Plates of Iron or Tin on the Back. If you cannot get season'd Wood, but green, then boil it about an Hour in Water, to make it tough, and keep it from warping. In the general, Wood is accounted better than Stone, because it keeps the Colouring more stanch or firm.

Before you colour your Dial-plate or Board, fix your Iron Stile, and having marked your Hour-lines with Ink, and fastened a Nail at the End of each Hour-line, that the Head of each Nail may shadow or direct you to the Center when it is coloured; and as it may happen that Golden Let­ters or Figures may decay in a few Years, you may on that Account make them with White-lead Paint, pointed with Red in a Black Margin.—When your Dial is finished, and dry, dip a Feather in your Oil, and anoint it thinly; for the finer you mix or grind the Colouring with the Oil, the more beautiful it appears, though not so lasting.

These Hints of Colouring Dials, puts me in mind of some other necessary Touches, relating to sundry Mixtures [...] Colours and dying of Stuffs, &c. collected from Mr. Salm [...]n' [...] Polygraphy.

Of Colours and Dying.

Whites, are Ceruse, Flake-white, and White-lead.

Blacks, are Lampblack, burnt Cherry-stones, and old Ivory burnt

Reds, are Red-lead, Vermilion, Red Oker, and Indian Lake.

Greens, are Verdigrease, Verditer, and Sap-green, made of the Juice of Buckthorn Berries.

Yellows, are Saffron, yellow Pink, and Gambogia.

[Page 252] Brown, is Umber burnt.

Gold Colour, is Orpiment.

Again, Verdigrease, with a little Sap-green, makes a good and a right Green.

Blues, are Ultamarine, Smalt, Indigo, and Blue Bice.

Of mixing Colours.

Colours are mixt by being ground on a Stone with fair Water, severally, and dried and kept in Paper Bags for Use; except Lamp-black, Saffron, Smalt, Gambogia, and Sap-green.

Blue; to compound, temper a little Indigo and Smalt with Oil.

A light Blue; mix Smalt and White-lead together.

Red Colour, mix Lamp-black, and White-lead together on a Marble.

A Fox Colour, is Umber burnt.

Gold Colour, is Orpiment mixt with fat Oil, by a Knife on an Earthen Plate, or Gally-Tile rather.

To hinder Colours from cracking, put Oil of Walnuts to them.

Yellow Colour; beat Saffron to Powder, and steep it in Vinegar.—Or take the Yellow Chives in white Lillies and Gum Water mixt for Writing.

Red; Vermilion with Gum-Water mixt for Writing.

Golden Letters; to write, mix Vermilion and Gum-Ar­monaick with Yolks of Eggs.

Of Dying Wool, Stuffs, &c.

To die Blue, Take Woad 1 Pound, and mix it with 4 Pints of boiling Water, and dip Whites in it 24 Hours.

To die Red of a clear Colour, take 60 Pints of Water wherein Brann has been steeped 24 Hours, and when strained, dissolve 2 Pound of Allom, and 1 Pound of Tartar; in which Water boil what you have to dye for 2 Hours; then take it out, and boil it in half as much fresh Water made of Brann, viz. 30 Pints; to which add Madder 3 Pound, and so perfect the Colour with moderate Warmth▪ without Boiling.

To die Green, First make a Yellow by the Direction un [...]derneath; then take 60 Pints of Water wherein Brann hat [...] been so [...]ked, as aforesaid, then strain it, let 3 Pound [...] [...]llom be dissolved in it, and then boil what you have to dy [...]

[Page 253]To dye Yellow, Take Woad 2 Pound, of the said Water of Brann, and boil till the Colour is good.

And if you would have the said Yellow to be Green, put the Stuff into the aforesaid Blue Lye.

To dye a Sad Colour, add Logwood to the Black Dye be­fore mentioned.

To dye Linen or Thread, &c. like Red: Take Powder of Brazil and Vermilion, of each 1 Ounce, boil'd in Allom-water.

To dye Linen or Thread Yellow; dissolve Gambogia in Allom Water, &c.

To stain Skins blue; Boil Eldern Berries, and with the Liquor brush over the Skins, and wring them; then boil the Berries in Allom-water, and wet them twice over.

A Hint of Generals, or Things proper to be known and remember'd on proper Occasions.

A Ream of Paper 20 Quires.

A Quire of Paper, 24 or 25 Sheets.

A Bale of Paper, 10 Reams.

A Roll of Parchment, 5 Dozen, or 60 Skins.

A Dicker of Hides, 10 Skins.

Ditto of Gloves, 10 Dozen Pair.

A Last of Hides, 20 Dickers.

A Load of Timber unhewed, 40 Feet.

A Chaldron of Coals, 36 Bushels.

A Hogshead of Wine, 63 Gallons.

Ditto of Beer, 54 Gallons.

A Barrel of Beer, 36 Gallons.

Ditto of Ale, 32 Gallons.

A Gross, 144, or 12 Dozen.

A Weigh of Cheese 256 Pounds.

Days in a Year, 365. Weeks, 52, and Hours, 8766.

Pence in a Pound 240, Farthings 960.

An Acre of Land, 160 Square Poles or Perches.

A Last of Corn or Rape-seed, 10 Quarters.

Ditto of Pot Ashes, Cod-fish, White herrings, Meal, Pitch▪ and Tar, 12 Barrels.

Ditto of Flax and Feathers 17 C. of Gun-powder 24 Bar­rels, or 2400 lb. of Wool 4368 lb.

A Tun of Wine, 252 Gallons, Oil of Greenland, 252 Gallons; and sweet Oil of Genoa, 236 Ga [...]lons.

A Tun in Weight, 20 C. of Iron, &c. but of Lead there is but 19 C. and a Half, called a Fodder or Fother.

A Todd of Wool, 28 Pounds.

[Page 254]A Pack of ditto, 364 Pounds.

A Load of Bricks 500; and of Plain-Tiles, 1000.

A Stone of Fish, 8 lb. and of Wool 14 lb. the same for Horseman's Weight, and also Hay; but Pepper, Cinna­mon, and Allom, have but 13 lb. ½ to the Stone.

Ditto of Glass, 5 Pounds; and a Seam of ditto, 24 Stone.

A Truss of Hay, 56 Pounds, and a Load of ditto, 39 Trusses.

Note, New Hay in June and August ought to be 60 Pounds to the Truss; as per Statute of 2 of William an [...] Mary, 1693.

A Cade of Red Herrings, 500; and of Sprats, 1000.

Iron and Shot, 14 lb. to the Stone.

Barrels of sundry Commodities.

  • Anchovies, 30lb.
  • A double Barrel, 60lb:
  • Nuts or Apples, 3 Bushels.
  • Pot-Ash or Barrilla, 200lb.
  • White or Black Plates, 300.
  • Candles 10 doz. lb.
  • Salmon or Eels, 42 Gall.
  • Figs, 3 qrs. 14lb. to 2 C. ¼
  • Raisins, 1 C. wt.
  • Oil, 31 Gallons and Half.
  • Spanish Tobacco, 2 C. to 3 C.
  • Gun Powder, 1 C. wt.
  • Soap, 240lb.
  • Butter, 224lb.
  • Herrings, 32 Gallons.

Things in Wholesale Trade, bought and sold by the Thousand.

  • Cuttle Bones.
  • Oranges and Lemmons.
  • Chair Nails.
  • Tacks and Tenter-Hooks.
  • Pomgranates and Tazels.
  • Goose Quills and Thimbles.
  • Pins and small Needles, by the 1000 Dozen.
  • Bricks.
  • Clinkers, or Flanders Tiles
  • Billets and Leaves of Horn
  • Barrel Hoop [...].
  • Squirrel Skins.
  • Slat and Hilling Stones.

Things sold and bought at Six Score to the Hundred.

  • Bauks and Barlings,
  • Barrel and Pipe Boards.
  • Bomspars and Bow-staves.
  • Canspars and Caprevans.
  • Herrings and Deal Boards.
  • Nails, Eggs, and Cod-fish, Cole, Ling, and new Land-fish, Stock-fish of all Sorts.
  • Ells of Canvas, and most Fo­reign Linnens.
  • And Hhd Staves.

Of Money.

THE Current Coin of England, is made either [...] Copper, Silver, or Gold. Of Copper is made the Farthings and Half-pence. Of Silver, the Pennies, Two-pences, [Page 255] Three pences, Groats, Six-pences, Shillings, Half crowns, and Crowns: But there is very little Silver coined below the Six-pence. Of Gold is made the Half-Guinea, the Guinea, and the 5 Guinea Piece: Besides, there are Foreign Pieces of Gold, that pass, tho' with some Scruple, as the Portuguese Moidore, at 27 s. and the Milled or French Pistole at 18 s. There are also some few ancient Pieces of Gold of a pale Colour, as being alloyed with Silver, and therefore may be reckoned the best, and sometimes c [...]lled Angel or Crown Gold; whereas the old Gold or Broad Pieces are mostly alloy'd with Copper, which makes them of a reddish Colour.

Imaginary Money.

We appropriate several Names to Money, of which there is no Coin; as,

  s. d.
The Pound of 20 0
The Mark 13 4
The Noble, or half Mark 06 8
The Angel, or 10 0

In England and its Colonies, Accounts are kept in Pounds, Shillings, and Pence; and their Marks are derived from [...]heir Names in Latin, viz. l. for Librae or Pounds, s. for Solidi or Shillings, d. for Denarii or Pence, qr. for Qua­drantes or Farthings, 4 making a Penny; and expressed or [...]et down thus. [...]

[...]ut better thus, the Mark for Pound stand­ [...]ng before the Sum denominates the first Number, and the [...]thers are known of course; for after Pounds follow Shillings, [...]nd after Shillings succeed Pence, &c. When the Price of [...]ny Thing is Shillings and Pence, it is set down thus;

s.
d.
4
6

[...] thus, 4 s6: And when Shillings and Pence, and Parts of [...] Penny, expressed thus,

s.
d.
4
6 ½

[...] thus, 4 s6 ½. The latter Way by some is accounted the [...]eater, and best Method to express Parts of a Penny or [...]arthings; thus,

  • [Page 256]¼ a Farthing, or one fourth Part of what it follows.
  • ½ a Half-penny, or one Half of what it follows.
  • ¾ three Farthings, or 3-4ths, or qrs. of what it follows.

And being thus set Fraction-wise the under Figure shews how many Parts the Quantity before it is divided into, and the upper Figure shews how many of those under Parts the Fraction stands for; as thus, ½ of an Ell, ¾ of a Foot or 9 Inches, and the same of a Shilling is 9 Pence; of a Pound is 15s.

  • If you are to set down 6 Yards and a Half, write thus, 6 ½ Yds.
  • Nineteen Hundred three Quarters thus, 19 ¼ C .
  • Sixteen Pounds and a Quarter thus, 16 ½ lb

or else thus, 16 C. ¼, 16 lb. ¼, 5 Feet ½, 14 Days ¾. Here the Name is put between the whole Number and the Frac­tion, which I think is the plainer and better Way: For Ex­ample, 6 ½ Hhd may through Ignorance or Wilfulness, be read. 6 Half Hhds, as well as 6 Hhds and a Half; and at [...] certain Place where I have had Business, the Wharfinge [...] Clerks express [...]d their half Hhds in this Manner.

A Table of the Value of Gold and Silver.
    l s. d.
Gold 1 Pound is worth 48 0 0
1 Ounce 4 0 0
1 Penny Weight 0 4 0
1 Grain 0 0 2
Silver. 1 Pound is worth 3 0 0
1 Ounce 0 5 0
1 Penny Weight 0 3
1 Grain 0 0 1/ [...]

Instrumental Arithmetick.

AS Problems or Questions in Measurement, &c. are sol­ved or answered arithmetically by the Pen, so ar [...] they also instrumentally taken by Compasses from certai [...] Lines, &c. or Rules made for that Purpose, for the Hel [...] of those that are deficient in Arithmetick, or for a quicke [...] Dispatch of Business; and such Performances are called in [...]strumental Arithmetick; and of the Instruments, the most [...] [Page 257] Vogue or Use, are these Three: 1. The Carpenter's Plain Rule. 2 Gunter's Line. 3. Coggeshall's Sliding Rule.

1. The Carpenter's Plain Rule.

I shall describe and say something of the Carpenter's Plain Rule in relation to its Uses, &c.

Its Description.

This Rule is made use of in measuring Board and Timber, being two Foot in Length, and divided into twenty four Parts [...] Inches, and every one of those Parts or Inches subdivided [...]nto half Inches, and each of those Halves into Quarters, and each Quarter into two Parts; so that every Inch is divided [...]nto eight Parts, and the whole Length into 192 Parts.

This Rule is well known, and therefore not absolutely ne­ [...]essary of Representation, but however, for the better un­ [...]erstanding it, I shall give one thus;

Under Board Measure thus described.

1 2 3 4 5 6 17
12 6 4 3 2 2  
0 0 0 0 4 0  

This Line begins at 6, and goes on to 36, within 4 Inches [...] the End of the Rule on the Right-hand.

Its Use.
In. deep. Feet. In. Pts.  
[...] Board be 1 12 0 0 in Length make a Foot Square.
2 6 0 0
3 4 0 0
4 3 0 0
5 2 4 5
6 2 0 0

[...] this Table it is manifest, and easily understood, That a [...]oard of 4 Inches requires 3 Feet in Length to make a Foot [...]quare, and a Piece of 3 Inches broad will require 4 Feet in [...]ength to make a Foot Square, &c.

At the other End of this Rule is a Table called Under [...]imber Measure; and thus described.

[Page 258]

1 2 3 4 5 6 7 8
144 36 16 9 5 4 2 2
0 0 0 0 9 0 11 3

This Line begins at 8 and a Half, and goes on (by Divi­sions) to 36.

In. Square. Feet.  
If a Piece of Timber be 1 144, 0 in Length make [...] solid Foot.
2 36, 0
3 16, 0
4 9, 0
5 5, 9
6 4, 0
7 2, 11
8 2, 3

By this Table it is plain, That if a Piece of Timber be 6 Inches Square, then 4 Feet in Length of that Piece will make a solid Foot.

It is a common Method with Carpenters, to add the Breadth and Thickness of a Piece of Timber in Inches to­gether, and call the Half thereof the Square of that Piece [...] but this Method gives the Content more than it is; and the greater the Difference, the larger the Error: But the true Square may be found in Gunter's Line, thus; place one Point of the Compasses upon the Line for the Thickness, half Way of that Extent, and that will be the true Square in Inches.

2. Gunter's Line.

This Line is commonly set on the Carpenter's plain Rule, and consists of two Lines, one set at the End of the other, and Distances taken by Compasses, as aforesaid; and it is somewhat of the following Form.

[Page 259]

Gunter's Line.

To prove the Line by the Compasses, observe,

1 to 2 equal 2 to 4
5 to 10 Distance 4 to 8
4 to 8 to 3 to 6

To number on the Line.

Observe, That the Figures 1, 2, 3, 4, 5, 6, 7, 8, 9, sometimes signify themselves simply or a­lone; at other Times 10, 20, 30, 40, &c. Again, at other Times, 100, 200, 300, or 1000, &c.

To find a Number on the Line, as suppos [...] 34.

For the Figure 1, account 1 on the Line; and for 3, take 3 of the large Divisions; and for 4 take 4 of the smaller Divisions; and that is the Point. Again, to find 750 on the Line; for 7 take 7 on the Line, for 50 take 5 of the great Divisions, and that is the Point.

To find a small Number on the Line, as sup­pose 12.

For 1, take 1 as before, and for 2, take 2 of the large Divisions, and that is the Point.

In measuring Board or Timber, it is best to have a Line of 2 Foot long, and Compasses one Foot long.

No [...]e, Let the Measurement be by the Inch, Foot, Yard, Pole, Rod, &c. it is best to have it deci­ [...]ally divided, or so supposed, that is, into 10 Parts, as [...]he Measurement should require, and on the Carpenter's Rule, [...]he Foot so divided.

Note also, That if the Point of the Compasses fall off the Line in the Work, remove it to the same Figure or Place on [...]he other Line; and the lesser Extent you take with the Com­ [...]asses is frequently the best.

Multiplication by the Line.

To multiply 5 by 7, set one [...]oot of the Compasses in 1, [...]nd extend the other to 5 upwards, and with the same Ex­ [...]ent place one Foot in 7, and the other Foot will fall on [...]5, the Answer.

[Page 260]

Division by the Line.

Example 1. Divide 63 by 3; extend from 3 to 1 down­wards, and the Extent will reach the same Way from 63 to [...]1, the Quotient.

N. B. In multiplying you must always extend upwards, that is, from 1, to 2, 3, to 4, &c. and on the contrary, in dividing extend downwards.

Example 2. Divide 288 l. equally among 16 Men: Ex­tend from 16 to 1 downwards; and that Extent will reach the same Way, from 288 l. to 18 l. for each Man.

Again.

Example 3. Suppose 750 l. were to be divided among 25 Men; extend from 23 to 1 downwards; and that Ex­tent will reach the same Way, from 750 to 30 l. each Man's Share.

The Rule of Three Direct.

Example 1. If a Bushel of Barley cost 3 s. what will [...] Bushels cost? Extend from 1 to 3 upwards, and that Extent will reach the same Way from 40 to 120 Shillings, the An­swer.

Example 2. If one Ell of Holland cost 3 s. 6 d. what will 40 Ells cost? Extend from 1 to 3 and a Half upwards and that Extent the same Way will reach from 42 to 140 s. the Answer.

Rule of Three Inverse.

Example 1. Admit the Bushel of Wheat to be worth 3 [...] 4 d. or 40 d. and then the Two-penny Loaf to weigh 20 [...] what shall the said Two-penny Loaf weigh when Wheat [...] worth 5 s. the Bushel? Extend from 60 to 20 downward [...] and that Extent the same Way will reach from 40 to 1 [...] Ounces and ½ for the Answer.

Example 2. If 136 Workmen fortify a Place in a Mont [...] or 28 Days, how many must be employed to do it in eigh [...] Days? Extend from eight downwards, to 136, and tha [...] Extent the same Way will reach from 28 to 476 Work­men, the Answer.

The Use in Board Measure.

Example. If a Board be 9 Inches broad, and 19 Fee [...] long, what is the Content in superficial Square Feet? E [...]tend from 12 (the Center of Foot Measure) to 9 down­wards, [Page 261] and that Extent the same Way will reach from 19 to [...] ¼.

In Timber Measure.

[...]mple: A Piece of Timber 24 Inches square, and 8 [...], what is the Content in solid Feet? Extend from [...] to 24 upwards, and that Extent twice [...]he same [...] reach from 8 to 32 Feet, the Content.

Brick Work.

How many Rods of Work are there in 4085 Feet? Ex­tend from 272 downwards to 1, and that Extent the same Way from 4085, will reach to 15 Rods, the Answer.

3. Coggeshall's Sliding Rule.

The next Instrument I shall speak of, is that which goes by the Name of Coggeshall's Sliding Rule. And first of

Its Description.

This Rule is framed 3 Ways, sliding by one another as [...]he Glasiers Rule; sliding on one Side of a two Foot Joint Rule; and one Part sliding on the other, in a Foot of Length; the back Part being flat, on which are sundry Lines and Scales.

Upon the aforesaid sliding Side of the Rule, are four [...]ines of Numbers, three are double Lines; and one a sin­ [...]le Line of Numbers, mark'd (as in the Representation by [...]nd by annexed) with ABC and D, the three marked A [...] and C, are called double Line [...] of Numbers, and figured [...], 2, 3, 4, 5, 6, 7, 8, 9. Then 1, 2, 3, 4, 5, 6, 7, 8, 9, [...]nd 10 at the End. That marked D, is the single Line [...] Numbers, and figured 4, 5, 6, 7, 8, 9, 10, 20, 30, and [...] the End 40, even with and under 10, in the doubl [...] [...]ine next to it, and that is called the Girt Line, and so [...]arked in the Figure.

The Figures on the three double Lines of Numbers, may [...] increased or decreased at Pleasure; thus one at the Be­ [...]ning may be called 10, 100, 1000; the 2 is 20, 200, 12000; so that when 1 at the Beginning is 10, then 1 in [...] Middle is 100, and 10 at the End is 1000; but if 1 at [...] Beginning is counted for 1, then 1 in the Middle is 10, [...] 10 at the End is 100.

And as the Figures are altered, so must the Strokes or [...]ivisions between them be altered in their Value, accord­ing [Page 262] to the Number of the Parts they are divided into; [...] thus from 1 to 2, 'tis divided into 10 Parts, and each Tenth is divided into 5 Parts; and from 2 to 3, it is di­vided into 10 Parts, and each Tenth into 2 Parts, and so on from 3 to 5; then from 5 to 6 it is divided into 10 Parts only; and so on unto 1 in the Middle of the Rule, or the first Part of the double Line of Numbers. The second Part or Radius is divided into the like Radius.

The Girt-line marked D, is divided from 4 to 5 into 10 Parts, and each Tenth into 2 Parts, and so on from 5 [...] 10; and then from 10 to 20, it is divided into 10 Parts and each Tenth into 4 Parts; and so on all the Way fro [...] 20 to 40 at the End, which is right against 10 at the En [...] of the double Line of Numbers.

The Lines on the back Side of this Rule that slide on one Side, are these, viz. a Line of the Inch Measure from 1 to 12, each divided into Halves, Quarters, and Half Quar­ters; another Line of Inch Measure from 1 to 12, each divided into 12 equal Parts, and a Line of Foot Measure, being 1 Foot divided into 100 equal Parts, and figured 10, 20, 30, 40, 50, 60, 70, 80, 90, and 100, even with 12 [...]n Inch Measure.

And the back Side of the sliding Piece is divided into Inches, Halves, Quarters, and Half Quarters, and figure [...] from 12 to 24, so that it may be slid out to 2 Foot, [...] measure the Length of a Tree, or any Thing else you ha [...] Occasion to measure.

The Use of the Double Scale.

Example 1.

Suppose there is a Geometrical Square, whose Sides ar [...] 3 Feet ½ each; set one Foot on the Line B, to 3 ½ on th [...] Line A; and then against 3 ¼ on the Line B, is 12 Fee [...] ¼ on the Line A, which is the Content of such a Square.

[...]

[Page 263]In this Work by Arithmetick I multiply 3 F. 6 Parts by [...], and it produces 10 Feet 6 Inches; then I take the Half of 3 F. 6 for the 6 Inches (by the Way of Practice) be­cause 6 Inches is the ½ of 12, &c. Again, suppose there [...] a Board 27 Feet and ½ long and 16 Feet ¼ wide, what is [...] Content?

[...]

Suppose the Side of a Rhombus to be 8 Feet 6 Inches ¼, [...]nd the Breadth, or Line AB, 8 F. 4 ½, what is the Con­ [...]ent? Set 1 Foot on the Line B, to 8 Feet 52/100 on the Line [...], then against 8 Feet 52/100 on the Line B, is 71 Feet 40/ [...]00 Parts, or a Foot on the Line A. And to know the [...] of the Decimal, or Part of the Foot, look for 40/100 on [...]he Rule, and you will find against it 4 Inches ¾, so that [...]he Content of this Rhombus is 71 Feet 4 Inches ¼.

Again, Suppose the Length of a Rhomboides to be 17 [...] ▪ 3, or 17 2 [...]/1 [...], and the Breadth 8 F. 7, or 8 58/100 what is [...]he Content? Set 1 Foot on the Line B, to 17, 25 on the [...]ine A, then against 8, 58 on the Line B, is 148 Feet on [...]he Line A. The Figure hath been presented before, and [...]perated arithmetically, therefore here unnecessary.

To measur [...] [...] by the Rule.

Every Triangle is [...] that long Square, whose Length [...]nd Breadth are equal to the Perpendicular and Base; [...]herefore from the greatest Angle or Corner let fall a per­ [...]endicular Line to the opposite Side (as hath been said be­ [...]ore) of the Base, and to find its Content take Half the [...]ength of the Base, and the whole Perpendicular, or ½ the [...]ength of the Perpendicular, and the whole Base, and then [...]ultiply, &c.

Example.

Let the Base of a Triangle be 4 Feet 1 Inch ¾, and the Perpendicular 2 Feet 1 ¾; the Half of the one, is 2 Feet [...] Parts; and of the other, 1 Feet 7 Parts. Set one on the Line B, to 4, 15 on the Line A; then against 1, 07, Half [...]he Perpendicular on the Line B, is 4 Feet, and almost ½ a Foot, for the Content. Or if you set 1 on the Line B, to [Page 264] 1, 07 on the Line A, against 4, 15 on the Line B, is 4, and almost ½ a Foot on the Line A.

Again, another Way. If you set one on the Line B, to 4, 1 on [...]he Line A, then against 2, 15 on the Line B is 8 Feet, 9/1 [...] (which is about 11 Inches) on the Line A, the Half whereof is 4 Feet 5 Inches ½, which is the Content of the Triangle.

Of the Girt Line.

Suppose the Diameter of a Circle be 2 Feet 25/100 what i [...] its Content? Set 11 on the Girt-line D, to 95 on the dou­ble Line C; then against 2 Feet 25/100 on C, the Girt-line is 3 Feet 95/100 on the double Scale of Numbers D, which is the Content.

Board Measure.

Suppose a Board be 27 Inches ½ broad, and 15 Feet [...]/ [...] long, what is its Content? Set 12 on the double Scale B, to 27 ½ on the double Scale A; then against 15 Feet ¼ on the double Scale B, is [...]5 Feet, the Content on the double Scale A.

When Dimensions are Feet and Parts, and the Content requir­ed in Feet and Parts.

Admit a Board be 24 ¾ long, and 1 Foot ½ broad what in the Content? Set 1 on the double Scale to 1 ½ on the double Scale A; then against 24 ¾ on the double Scale B, is 37 Feet 1/10 on the double Scale A, and is the Content.

Suppose a Piece of Glasing be 29 Inches ½ long, and 7 Inches broad, what is the Content? Set 144 (represented by 1, 44) on the Line B, to 7 Inches on the Line A; then against 29 ½ on the Line B, is 1 Foot and almost 1/ [...] on the Line A.

Suppose a Room Wainscotted be 44 Feet in Compass, and 9 Feet ¾ high, what is the Content? Set one on the double Scale B, to 44 Feet ½ on the double Scale A; then against 9 Feet [...]/4; on the double Scale B is 433 Feet [...]/ [...] on the double Scale A, the Content.

Admit a Piece of Painting be 13 Feet ½ broad, and 2 [...] Feet ½ long, what is the Content? Set 9 on the doubl [...] Scale B, to 13 ½ on the double Scale A, then against [...] on the double Scale B, is 35 Yards ¼ on the double [...] A, and is the Content.

A short, but comprehensive Account of all Arts and Sciences.

ALCHYMY, is that sublime Part of Chymistry, which teaches the Art of transmuting Metals, and making the Grand Elixir, or Philosopher's Stone, as some are weak enough to believe. But the best Definition of it is, that it is an Art without Art, which begins with Lying, is carried on with Labour, and ends with Beggary.

ALGEBRA, commonly called the Analytick Art, be­cause it teaches how to resolve Questions, and demonstrate Theorems, by searching into the fundamental Nature and Frame of the Thing. It is the Science of Quantity in Ge­neral, or a peculiar Method of Reasoning, which takes the Quantity sought, as if it were known, and then by the Help of another, or more Quantities given, proceeds by undeniable Consequences, till at length the Quantity first only supposed to be known, is found to be equal to some Quantity or Quantities certainly known.

ANATOMY, is that Art which teaches to dissect or take to Pieces any Animal Body, in a curious and dex­terous Manner, in order to discover and explain the Origi­nal, Nature and Use, of its several Part [...], for the Improve­ment of Physick and natural Philosophy.

ARCHITECTURE, is the Art of erecting Edi­fices proper for Habitation. The Antients have established five Orders of Architecture, called the Tuscan, the Dorick, the Ionick, the Corinthian, and the Composite, or Roma [...] Order, the Difference between which Orders consists in the [Page 297] Column, with its Base and Capital, and the Entablature, that is, the Architrave, Frise and Cornice; for these are the Parts which constitute the Order, and each One hath its proper and peculiar Measures. The Rules of Architecture require Solidity, Convenience and Beauty, Solidity implies the Choice of a good Foundation, and good sound Materials to work with. Convenience consists in so ordering and disposing the Parts of an Edifice, that they may not hinder or em­barrass one another. Beauty is that due ranging and agreea­ble Union and Symmetry of all the Parts, which, upon the Whole, exhibits to the Eye of the Spectators a beauti­ful Form and Appearance. Architecture may likewise be divided into Civil, Military and Naval. Civil Architec­ture teaches to contrive and erect commodious Buildings for the Uses of Civil Life; such as Churches, Palaces and pri­vate Houses. Military Architecture shews the best Way of raising Fortifications about Cities, Towns, Camps, Sea Ports, &c. Naval Architecture is employed about the Building of Ships, Gallies, and other Vessels for the Water, together with Ports, Moles, Docks, &c. on Shore.

ARITHMETICK, is the Art of numbering truly, and of finding all the Properties and Powers of Numbers.

ASTROLOGY, is that foolish Science which pretends to foretel future Events from the Motions of the heavenly Bodies, and their Aspects one to another▪ or from some imaginary, hidden Qualities, which the weak Admirers of this Cheat will have to be in the Stars.

ASTRONOMY, is a mathematical Science, which teaches us the Knowledge of the Stars or heavenly Bodies, viz. Their Magnitudes, Distances, Motions and Eclipses.

BOOK-KEEPING, is the Art of keeping so distinctly all the Transactions of a Man's Business, that he may know at any Time the true State of his Affairs with Ease and Certainty.

BOTANY, as it relates to the Science of Medicine, teaches to discover and enumerate the several Virtues of Plants and Simples: As it relates also to Natural History, it teaches to distinguish the several Kinds and Species of Plants, Trees, Shrubs, &c. one from another, and to give just Descriptions of them.

[Page 298]CHYMISTRY teaches how to separate the dif­ferent Substances that are found in mixed Bodies, as Ani­mals, Plants or Minerals, and to reduce them to their first Principles.

CHIROLOGY, the Art of dumb Language, or a Method of talking by Signs made with the Hands.

CHIRURGERY (or, as it is commonly written and pronounced, Surgery) is the third Branch of the cura­tive Part of Medicine, and teaches how several Disease [...] and Accidents, incident to the Body of Man, m [...]y be cured by manual Operation. It is divided by some into five Parts. 1. Synthesis, a setting together Things that are se­parated. 2. Diaeresi, a separa [...]ing Things that were before connected. 3. Diorthosis, a correcting of Things squeez­ed together and contorted. 4. Exaeresis, the taking away of Supe [...]fluities. 5. Anaplerosis, the restoring of that which was deficient. It is a common Saying, that a good Surgeon should have an Eagle's Eye, a Lion's Heart, and a Lady's Hand.

CHRONOLOGY, is the Art of computing Time from the Creation of the World for historical Uses, and preserving an Account of remarkable Transactions, so as to date truly the Beginnings and the Ends of Reigns of Princes, the Revolutions of Kingdoms and Empires, signal Battles, &c.

COSMOGRAPHY, teaches to describe the whole Frame of the Universe, with the several Parts thereof, ac­cording to their Number, Positions, Motions, Magnitudes, Figures, &c. The Sciences of Astronomy and Geography are comprehended in this.

DIALING, is the Art of drawing Lines on a gi­ven Plane, in such a Manner as to shew the Hour of the Day when the Sun shines. Papyrius Cursor set up the first Sun-dial in Rome, about the Year of the City 447; and before that, according to Pliny, there was no Account of Time, but the Sun's rising and setting.

ETHICKS, is the Science of Morality, by which we are taught the Rules and Measures of human Action; the Writers upon it usually divide it into two Parts: The first contains an Account of the Nature of moral Good and Evil: The other enumerates the several Virtues in which the Practice and Exercise of Morality consists, and which are the proper Means for us to obtain true Felicity, the End of all Moral Actions.

[Page 299]GEOGRAPHY, teaches to describe the whole Globe of the Earth, and all its Parts. It is usually divid­ed into General and Particular. General, or Universal Geo­graphy, considers the whole entire Globe of Earth and Wa­ter, as to its Figure, Magnitude, Motions, Land, Sea, &c. without any Regard to particular Countries. Particu­lar, or Special Geography, considers the Constitution of the several Countries, or Regions, their Figure, Bounds, Parts, &c. The Forests, Mountains, Mines, Rivers, Animals, Plants, &c. As also the Climate, Seasons, Weather, Heat, Cold, Distance from the Equinoctial, &c. the Inhabitant [...] Arts, Communities, Cities, Commodities, Foods, Lan­guage, Customs, Policy, Religion, &c.

GEOMETRY, originally signifies the Art of mea­suring the Earth, or any Distances or Dimensions on, or be [...]onging to it; but it is now used for the Science of Quan­tity, Extension or Magnitude, abstractedly considered, wi [...]h­out any Regard to Matter. Geometry may be divide [...] [...]nto four Parts, 1. Planimetry, or the Mensuration of plai [...] [...]ur­faces. 2. Altimetry, or the taking and measuring of He [...]hts, whether accessible or inaccessible. 3. Longimetry, or the Art of taking the Distances of Things afar off, as Steeples, Houses, Trees, &c. 4. Stereometry, or the Art of measur­ing solid Bod [...]es.

GRAMMAR, is the Art of Speaking or Writing properly, or of expressing the Relation of Things in Con­struction, with due Accent in Speaking, and Orthography in Writing, according to the Custom of those whose Lan­guague we learn.

HERALDRY, is the Art of [...], or Blazoning. It consists in the Knowledge of what [...] royal Solem­nities, Cavalcades and Ceremonies at [...], Inter­views of Kings, Instalments, Creation [...]. Funerals, Marriages, &c. and also in giving the [...] Coat-armour to all Persons, regulating their Right of Pr [...]ced [...]cy in Point of Honour, and restraining those from bearing Coat armour that have not a just Claim thereto, &c The Herald's Col­lege is a Corporation established by Richard III. consisting of Kings at Arms, Heralds, and Pursuivants, who are em­ployed to denounce War, proclaim Peace, &c.

HUSBANDRY, is the Art of tilling or cultivating the Earth, in order to render i [...] fertile, and to assist Nature in bringing to greater Perfection the Products thereof.

[Page 300]HYDRAULICKS, the Art of making all Sorts of Engines to carry or raise Water, or which are moved by Water, and serve for other Uses.

HYDROGRAPHY, is that Part of Geography which considers the Sea, and teaches the Art of making Sea Charts, measuring and describing the Sea, accounting for its Tides, Counter-tides, Currents, Bays, Soundings, Gulfs; also its Sands, Shallows, Shelves, Rocks, Pro­montories, Distances from Port to Port, with whatsoever i [...] remarkable either out at Sea, or on the Coast.

HYDROSTATICKS, is the Doctrine of Gra­vitation in Fluids, or that Part of Mechanicks that consi [...]ders the Weight or Gravity of fluid Bodies, especially Wa [...]ter, and also of solid Bodies immerged therein.

LAW, applied to the several Policies and States [...] People, is the Maxims and Rules they have agreed upon, [...] received from their Magistrates, in order to live in Peace and mutual Society; or it is a Command or Precept co [...] ­ing from some superior Authority, which an inferior is ob­liged to obey. Aristotle defines it to be a Declaration de­termined by the Common Council of a City, shewing in what Manner Things are to be done: But Chambers, in his Dictionary, thinks this is not so properly a Law as a Covenant.

LOGICK, is the Art of conducting the Understand­ing in the Knowledge of Things, and the Discovery of Truth. It may be divided into four Parts, Apprehension, Judgment, Discourse, and Method; as in order to think a­right it is necessary to apprehend, judge, discourse and me­thodize rightly. My Lord Bacon divides Logick into som [...] Branches, according to the Ends proposed in each; for a Man reasons either to find what he seeks, or to judge of what he finds, or to retain what he judges of, or to teach what he retains; and from hence arise so many Arts of Reasoning, viz. The Art of Inquisition or Invention, the Art of Ex­amining or Judgment, the Art of Preserving, or of Me­mory, and the Art of Elocution or Delivering.

MATHEMATICKS, is the Science of Quantity, and comprehends whatever is capable of being numbered or measured. It may be divided into Speculative, which re [...]s in the bare Contemplation of the Properties of Things; and Practical, which applies the Knowledge of those Pro­perties to some Uses in Life, as in Astronomy, Architecture, Geography, Mechanicks, Musick, Opticks, Perspective, &c.

[Page 301]MECHANICKS, is a mix'd mathematical Science, which considers the Nature and Laws of Motion and mov­ing Powers, with the Effects thereof in Machines, &c.

METAPHYSICKS, may be called the Science of natural Theology; it considers Being in general, abstracted from all Matter, viz. The Essence of it, which seems to have a real Being, though it does not exist, as a Rose in the Depth of Winte [...]. It is so sublime, or rather so ab­struse a Science, that there is a great Difference among Authors about its Nature and Ideas.

MUSICK, is the Science of Sound, or the Art of disposing and conducting Sounds, of proportioning them a­mong themselves, and separating them by just Intervals in such a Manner, as to produce Harmony and Melody.

NAVIGATION, is the Art of sailing or con­ducting a Ship or Vessel from one Place to another, the shortest and most commodious Way. It likewise compre­hends the Art of building and loading of Ships.

OPTICKS, is a mixed, mathematical Science, which explains the Manner wherein Vision is p [...]ormed in the Eye; treats of Sight in general, gives the Reasons of the several Modifications or Alterations which the Rays of Light undergo in the Eye; and shews why Objects at dif­ferent Distances, and in different Situations, appear greater, smaller, more distinct, more confused, nearer, or more remote.

PAINTING, is the Art of representing natural Bodies, and giving them the Appearance of Life. It may be divided into four Parts, Invention, Design, Disposition, and Colouring.

PERSPECTIVE, is that Part of the Mathematicks which gives Rules for the representing of Objects on a plain Superficies, after the same Manner as they would ap­pear to our Sight, if seen through that Plain, it being sup­posed as transparent as Glass,

POETRY, is the Art of inventing and composing Fables, Stories, Allegories, &c. in Verse. It is related to Painting, as it describes the Passions and Manners of Men; and to Musick, as its Stile consists of Numbers and Harmony.

PHILOSOPHY, is the Knowledge or Study of Nature and Morality, founded on Reason and Experience. Philosophy owes its Name to the Modesty of Phythagoras, who refused the Title of Wise given to his Predecessors, and contented himself with the Appellation of a Friend, o [...] Lover of Wisdom.

[Page 302]PHYSICK or MEDICINE, is the Art of healing Diseases. According to Boerhaave, it consists in the Knowledge of those Things by whose Application Life is either preserved healthy and sound; or when disordered, again restored to its Health and Vigour.

PHYSIOGNOMY, is the Art of knowing (or rather guessing) the Humour, Temper, or Disposition of a Per­son, by the Lines and Characters of his Face.

RHETORICK, is the Art of speaking in the most elegant and persuasive Manner; or as my Lord Bacon de­fines it, the Art of applying and addressing the Dictates of Reason to the Fancy, and of recommending them there so as to attract the Will and Desires.

SCULPTURE, is the Art of cutting or carving Wood, Stone, Marble, &c. and of forming various Fi­gures and Representations therein, particularly of Men, Beasts, Birds, &c.

THEOLOGY or DIVINITY, is that Science which instructs us in the Knowledge of God and divine Things. It is generally divided into five Parts. 1. Natural Theology, is the Knowledge we have of God from his Works by the Light of Nature and Reason. 2. Supernatu­ral Theology, is that which we learn from Revelation. 3. Positive Theology, is the Knowledge of the Holy Scriptures▪ and of the Signification thereof, conformably to the Opini­ons of the Fathers and Councils, without the Assistance of any Argumentation. 4. Moral Theology, is that which teaches the divine Laws relating to our Manners and Ac­tions. 5. Scholastick Theology, is that which proceeds by Rea­soning, and taking certain established Principles of Faith for granted, from thence deduces Abundance of strange Things, and has made a fine Piece of Work of it indeed. The An­tients had a Three-fold Theology. The first Fabulous, which flourish'd among the Poets, and was chiefly employed in the Genealogies of the Gods, &c. The second Political, which was embraced by the Politicians, Priests and People, as most suitable and expedient to the Safety, Quiet, and Prosperity of the State. The third, Natural, chiefly cul­tivated by the Philosopers, as most agreeable to Nature and Reason. This last acknowledged only one Supream God.

[Page 303]

Of the Seven Wonders of the World.

THE Pagans did commonly boast of seven stately Structures, that were named, The Seven Wonders of the World.

I. The greatest Wonder, and most incomparable Work, was the Temple of Ephesus, dedicated to Diana. It was [...]irst begun by Ctesiphon, and seated (for Fear of Earth­quakes) in marish Ground; it was 425 Feet long, and 220 Feet broad; it had in it 127 stately Marble Pillars, e [...]ch of which had been the sole Enterprize and Work of a King who was resolved to make his Piety and Magnificence appear upon his Pillar. It was 200 Years in building, though many Thousands of Men were employed in the Work; it was re-built at the Command of Alexander the Great, by Dinocrates, his Engineer.

II. The Walls of Babylon, and the pleasant Gardens which Queen Semiramis planted; about this Work 300,000 Men were continually employed many Years. These Walls were 300, or 350 Stadia about, which make about 22 English Miles; they were 50 Cubits high, and so broad, that two or three Chariots might go upon them abreast, without any Danger.

III. The Lybyrinth of Egypt, built by Mar [...]s, or Me­nis, for his Tomb, in which 16 large Apartments, or sump­tuous Palaces, were built, to equal the 16 Governments, or Provinces of Egypt; there were in it so many Ways and ar­tificial Walks, that it was no easy Matter to find the Way out of it. Daedalus took his Model from this, to build his Labyrinth in Crete.

IV. The Pyramids of Egypt, which remain to this Time; there were three of them; the greatest was built by Chem­nis, King of Egypt, as a stately Monument of his Power, and to be his Sepulchre after his Death: It was placed a­bout 16 English Miles from Memphis, or Grand Cairo, and was about 1440 Feet in Height, about 143 Feet long on each Side of the square Basis, and 600,000 Men were employed in building it, during the Space of 20 Years. It is built of hard Arabian Stones, every one about 30 Feet long. Chemnis was torn in Pieces in a Mutiny of his People, and could never obtain the Honour of being interred in this Se­pulchre. Cephus, his Brother, succeeded him, and imitated his vain glorious Actions, in erecting another less than the [Page 304] former. The last was built by King Mycerinus, or (as som [...] say) by the famous Strumpet Rhodope; upon this appears a great Head of black Marble, of 102 Feet round about the Temples, and about 60 Feet high from the Chin to the Crown of the Head.

V. The Mausolaeum of Caria, which Queen Artemisia built, as a Sepulchre for her deceased Husband Mausolus; she enriched it with so many rare Ornaments, that it was esteemed one of the greatest Wonders of the World; and all Monuments of this Kind have since been called Mauso­laea. This Queen did love her Husband so much, that besides this Edifice, which she erected for him, she caused the Ashes of his consumed Body to be put into a Cup of Wine, and drank it, to give him a Lodging next to he [...] Heart.

VI. The C [...]lossus of Rhodes was made by Chares, of As [...]a Minor, of Brass, in the Space of 12 Years, and was dedi­cated to the Sun. It cost about 44000 l. English Money, and was placed at the Entrance of the Harbour of the City, with the right Foot standing on one Side of the Land, and the Left on the other; between the Legs the tallest Ships, with their Masts, did enter into the Haven. When it fell to the Ground by an Earthquake, few Men were able to embrace the little Finger of this prodigious Statue. It was 800 Feet high, and of a proportionable Bigness; and when broken down and beat to Pieces by the Saracens, that took the Island, Anno Dom. 684, they loaded above 900 Camels with it.

VII. The Statue of Jupiter Olympius was the neatest [...] all these Works; it was erected by the Eleens, a People of Greece, and placed in a Temple dedicated to Jupiter, whic [...] was enriched afterwards with many curious Representations, and excellent Statues: This of Jupiter was sitting in a Chair half naked, but from the Girdle downwards he was covered; in the right Hand he held an Eagle, and in the Left a Scepter. Caligula endeavoured to transport it to Rome, but those that were employed about it were frighted from their Enterprize, by some unexpected Accident. This Statue was made by Phidias, and was 150 Cubits high; the Body was of Brass, but the Head was of pure Gold.

Among the many renowned Buildings and Erections of the Antients, the Capitol at Rome may justly claim a Place; it was consecrated to Jupiter Imperator; upon Mount Tarp [...]ia [Page 305] [...] was built, and was a famous Edifice, the richest and most [...]oted in all Italy. It was beautified with the Statues and [...]mages of all the Gods, with the Crowns of Victory, and [...]ith the Spoils of the Nations conquered by the Romans. It was seated in the most eminent Place of the City, by [...]arquinius Priscus, and Servius Tullius, two Kings of Rome, [...]nd afterwards mightily enlarged by the following Genera­ [...]ions. The Temples of Neptune, Vulcan, Saturn, Mars, Aesculapius, Hercules, Vesta, and Janus, are noted by Au­ [...]hors to have been brave Structures, worthy of the Roman Grandeur; as also the Pantheon, dedicated to all the Gods.

To these may be added, the Royal Palace of Cyrus, King of Media, built in a very grand and extravagant Manner, by Menon, who cemented the Stones with Gold; also the Temple built at Athens to Minerva, and another in the same City to Mars, where the Judges met to examine Causes of Life and Death; with the glorious Temple, or Fabrick, at Delphos, where Apollo gave Oracles. This Temple was enriched with innumerable Gifts, which came [...]rom every Part of the World [...]. In it was a Woman Priest [...]amed Phoebas, otherwise Pythia, or Pythonissa, that re­ [...]eived the Enthusiasm, sitting upon a little Table supported with three Feet; it was called Tripous, or Cortina, because [...]t was covered with the Skin of the Serpent Python, whom Juno had sent to distress Latona, Apollo's Mother, in the Island of Del [...]s; when Apollo came of Age, he killed this Serpent with his Bow and Arrows, after a long and grie­vous Combat; during which these Words, Io Poean, were frequently heard in the Air, and which afterwards were frequently used in publick Rejoicings.

Of the MUSES.

THE Muses had several Names given them by the antient Poets, according to the several Places where [...]hey dwelt; sometimes they were called Pierides, on ac­count of the Forest Pieris, in Macedonia, where they were [...]aid to be born; sometimes Heliconiades, from Mount Heli­ [...]n, which was near their beloved Parnassus, and sometimes [...] other Names, according to the Pleasure of the Mytho­ [...]ogists, in their fabulous Accounts of the Heathen Deities.

They were supposed to be the Daughters of Jupiter and Memory, which Fiction was introduced, because Jupiter [Page 306] was supposed to be the first Inventor of Disciplines, which are necessary in order to a regular Life.

These Muses, by the Assistance of Apollo, invented Mu­sick; their chief Office was to be present at solemn Festi­vals, and sacred Banquets, and there to sing the Praises [...] famous Men, that they might encourage others to under [...]take glorious Actions, as D'Assigny observes.

They were represented as Women, because Disciplines and Virtues have feminine Names assigned to them; they were painted young, handsome and modest; agreeably dressed and crowned with Flowers; they were much esteemed fo [...] their Chastity, and it is written of them, that when Adonis [...]he Favourite of Venus, offered to stir up in them some In­clinations to Love, they fell upon him▪ and killed him.

They were at first but three, and called Melete [Me­ditation] Mneme [Memory] and Aonide [Singing] but [...] certain Carver of Sycion, having Orders to make three Sta­tues of the three Muses for the Temple of Apollo, mistook his Instructions, and made three several Statues of each Muse; and these happening to be very curious and beau­tiful Pieces, they were all set up in the Temple, and from thence began to be reckoned nine Muses; afterwards Hes [...]d named them, Calliope, Clio, Erato, Thalia, Melpomen [...], Terpsichore, Euterpe, Polyhymnia, an [...] Urania.

Calliope was supposed President of Heroick Poetry, Clio of History, Erato of the Lute, Thalia of Comedy, Melpome [...] of Tragedy, Terpsichore of the Harp, Euterpe of Wind Mu­sick, Polyhymnia, of Musick, Urania of Astronomy.

Alexander Ross says, there were at first three Muses, to shew the three Sorts of Musick, [...]inging, Blowing, and Playing; the first in the Throat, the second in Wind-Instruments, and the third upon Strings: Or to shew the Three-fold chief Learning in the World, Philosophy, Rhe­torick and Mathematicks: Philosophy is Three-fold, ratio­nal, moral and natural; there are three Parts in Rhetorick, the Demonstrative, the Deliberative, and the Judicial; there are also three Parts of Mathematick [...], Arithmetick, Geome­try, and Musick. [...]fterwards the Number of Muses in­creased to seven, either because of seven Holes in Wind In­struments, of seven Strings on other Instruments, of the se­ven liberal Sciences, or of the seven Planets. Lastly, they came to be nine in Number, from the nine Spheres, which they held made a musical Harmony. They were called [Page 307] the Daughters of Jupiter and Mnemosyne, to shew that Learning cannot be had without the Intellect and Memory, which are most eminent in learned Men; or rather that GOD is the Author of Learning, and Memory the Mother or Nurse thereof; therefore the Poet ascribes to the Mu­ses, Memory, and Utterance; by the one they are preserved, by the other they are heard.

They are called Musae from Maiosthai, to enquire; this belongs to Invention; and from Muesthai, to initiate into sacred Mysteries, by which is meant Judgment; so that the Muse [...], or Learning, consists in Invention and Judgment.

The Muses were winged, to shew the Nimbleness of good Wits, and the Quickness of Poetry and Musick, in moving the Affections; they bore Palms in their Hands, to shew that they conquer Mens Passions; they did all dance in a Ring to shew the Agreement and Harmony among the libe­ral Sciences; and the Graces were joined with them, to shew the solid Joy that is the constant Attendant on Learning and Virtue.

They had divers Names from divers Occasions, as Nymphs and Goddesses of Water, to shew the Clearness of Poetry; Parnassides, Heliconides, Pierides, Aonides, Pegasides, Aga­nippides, Libethrides, Thespiades, &c. to shew the various Kinds of Learning, and the many Labours the Scholar must undergo, before he can attain unto Excellency. The parti­cular Names of the Muses are also very significant, as Clio, from Cleous [Glory] because great is the Glory of Learn­ing, though Ignorance be its Enemy; Euterpe, from Eu­terpus [delightful] because there is no Delight comparable to that of virtuous, learned Men; Thalia from Thalein [to grow green] for Learning will still flourish, and never wither; Melpomene, from Meletenpoiomene [making Melo­dy] for the Life of a Scholar is still chearful and melodious; Terpsichore, from Terpo and Choria [to d [...]light in Singing or Dancing] for the Mirth of learned Men is within themselves; E [...]ato, from Eratus [Love] for the more a Man knows Learning, the more he loves it; Polyhymnia, or Polymnia, from Polus and Umnos; no Mens Minds are so full of Me­lody and spiritual Comfort, as the Minds of learned Men; U [...]ania, from Uranos [the Heaven] for Learning came from thence; Caliope, from Cales opos [a good Voice] there is no outward Voice so charming and melodious as the inward Voice of Knowledge in the Mind, by which a Man [Page 308] discourseth with himself, and is never less alone than when he is alone.

The Ancients built Temples to the Muses remote from Cities, and described them sitting on the Top of Parnassus, to shew Learning hath its Seat in the Head, which is the Top and Capital of Man's Body; and as all Gods and God­desses had their Birds dedicated to the [...], so had the Muses the laborious Bees, who very much resemble Scholars in their Providence, Industry, Labour, Order and Harmony; they are content with little, yet afford much Benefit to the Owner; so do Scholars to the State; neither is there any Creature, to which learned Men and Students are more be­holden, than to the Bee, which both affords them Food and Physick in its Honey, and Light in their Lucubrations in its Wax.

Of HERCULES.

THERE has been no King, nor other Person, that we read of in profane History, that has rendered his Name more famous than Hercules, who, for his noble Acts, and glorious Deeds, was deified and placed among the Stars.

His Father is said to be Jupiter, and his Mother Alcmena; when his Mother was big with Child with him, Sthelenus, King of Mycene, was in great Hopes of obtaining speedily a Son, afterwards named Eurystheus. Jupiter took an Oath, that he that should be born first, should be King, and have an absolute Command over the other; which when Jun [...] (Jupiter's Wife, the sworn Enemy of all her Husband's Concubines, and of all the Children that were born of them) had accidentally heard, she caused Eurystheus to come forth of his Mother's Womb, at the End of seven Months, and by that Means procured unto him the Scepter with the Sovereign Command.

'Tis said that when Jupiter lay with Hercules's Mother, he spent three Nights (which he caused to be joined toge­ther) in begetting him; his Body and Stature were an­swerable to the Pains and Power of his Father, for he was seven Feet high, had three Ranks of Teeth in his Mouth, and out of his Eyes Sparkles of Fire and Light did some­times proceed.

Juno, at the Intercession of Pallas, seemed to be recon­ciled to Hercules; as a Testimony of her Good-will to him, when in his Infancy, she gave s [...]ck to him of her own [Page 309] Breast; by that Means it happened, that the little Hercules, having spilt some of the Milk out of his Mouth, he whited that Part of the Sky that is called the Milky Way. This Kindness was only feigned to satisfy the Request of Pallas; for a while after, when he was yet in his Cradle, she sent two dreadful Serpents to devour him, which did not how­ever answer her Expectation; for the Child, without any Show of Fear, caught them in his Hands, and tore them in Pieces.

When he came to Years of Understanding, he was put under the Tuition of such Masters as did excel in many Arts and Sciences, to learn of them the Things that were required to make him accomplished He was taught by Te [...]tare [...], a Scythian, to handle the Spear and Dart; Lu­cius, the Son of Apollo, taught him the Rudiments of Learn­ing, and because he had chastised him with a Rod, Hercules killed him [...]hen he came to be of Age; from Eumolpus he learned the Art of playing upon Instruments of Musick; Chiron ga [...] him an Insight into Astrology, and Harpolicus made him understand the other Sciences that were necessary [...] accomplish a Man of his Birth and Valour.

He was scarce eighteen Years of Age, when Eurystheus [...]g [...]ged him in the most difficult Enterprizes, and exposed [...] to all Manner of Dangers to make him perish; so that [...] he took a Resolution to obey him no longer; but the [...] informed him, that it was the Will of the Gods, that he should pass twelve Times more through Dangers, in Obedience to the Commands of this Tyrant. These are named the twelve Adventures or Labours of Hercules.

1. He was appointed to destroy a great [...]ion of the Forest of Nemea, that was fallen from the Moon, and spoiled the Country round about; he discharged all his Arrows at this wild Beast to little Purpose, and then encountered it with his Club only in his Hand, but the Skin was so tough and hard that no Weapon could enter it, which when Hercules perceived, he caught hold of the raging Lion, and tore him in Pieces with his Hands. Ever after he delighted in wearing the Skin of this Lion about him, as a Token of his Victory, and in Imitation of him all Heroes have Skins of Lions, or other wild Beasts upon their Bucklers; and some say, this is the Lion that was placed among the twelve Signs of the Zodiack.

[Page 310]2. He was sent to the Lake of Lerna, near Argos, to encounter with an Hydra, a notable Serpent, or Dragon of a strange Nature; for it had seven Heads, and when one was cut off, many others did immediately burst forth, so that it was not possible to overcome this Monster, unless all his Heads were cut off at one Time, and the rest of his Body destroy­ed by Fire and Sword, which was executed by Hercules.

3. Eurystheus sent him to Mount Erymanthus, in Arcadia, where a wild Boar of extraordinary Bigness destroyed all the neighbouring Fields: Hercules dragged him alive to Eurystheus, who was almost frighted out of his Wits when he beheld him.

4. He got hold of the Stag of the Mountain Menelaus, whose Feet were of Brass, and Horns of Gold, when he had pursued it a whole Year.

5. He put to Flight the Birds of the Lake S [...]mph [...]lus, that were so numerous, and of such a prodigious Greatness, that they darkened the Air, and hindred the Sun from shining upon Men, when they flew over them; besides they did often take up some, and carry them away to de­vour them. But these Encounters were not worthy to be compared with his Combat against,

6. The Amazons, who were Women of Scythia, dwell­ing upon the Coasts of the Hircanian Sea, who having fol­lowed their Husbands in the War, and seeing them all cut off by the Enemy, near the River Thermodon, in Cappado­cia, they resolved to maintain the War themselves, and not to suffer any Man to have Command in the Army, or Kingdom, or to live among them. They went among their Neighbours to fetch from them Children; the Males they destroyed, but kept the Females, and brought them up in a warlike Manner; and that they might be more ready to handle the Bow and Arrows, they burnt their right Paps in their Infancy. They behaved gallantly in the Siege of Troy under the Conduct of Penthesilea; but were forced to yield to the Valour of Hercules, who being accompanied by Theseus, went against them, according to the Command of Eurystheus, and took their Queen Hippolite, who was af­terwards married to Theseus.

7. He undertook to cleanse the Stables of Auge [...], King of Elis, in which Thousands of Oxen had been daily fed, so that the Dung, by a long Continuance, was much in­creased, and filled the Air with Infection; Hercules there­fore [Page 311] turned the Current of the River Alpheus from its ordi­ [...]ary Course, and caused it to pass through the Stables; thus [...] carried away the Filth in one Day, according to his Bargain; but Augeas was not grateful to him for his Pains▪ for he denied him the tenth Part of the Oxen that were kept there; this caused the Death of Augeas, and the Loss of his Goods.

8. He seized upon a Bull, that did breathe nothing but Fire and Flame, which Neptune had sent into Greece, to punish some Disgraces and Affronts, which he had received from that Country.

9. He passed into Thracia, where he caused the Tyrant Diomedes to endure in his own Person, that which he made others to suffer, which was, he gave all Strangers that he could catch in his Kingdom to be devoured by his Horses. Hercules served Busiris King of Egypt, in the same Manner, because he was so cruel to all Strangers, as to cut their Throats upon the Altars of Jupiter, that he might cloke his Cruelty by a Pretence of Piety.

10. Geryon, King of Spain, who was reported to have three Bodies, because he commanded three Kingdoms, was no less cruel than the former; he fed some Oxen, which he highly esteemed, as Diomedes did his Horses, and to keep them, he had a Dog with three Heads, and a Dragon with Seven. When Hercules was sent thither by Eurystheus, he treated him as he had formerly done Diomedes.

11. He was required to put into the Possession of Eury­stheus, certain Golden Apples belonging to Juno, that were in the Custody of some Nymphs, the Hesperides, Daughters of Hesperus, the Brother of Atlas; but before any one could come at them, a great Dragon that was at the En­try of the Gardens where they grew, was to be first over­come. He found Means to accomplish this Enterprize also; some say he made Use of Atlas, who went to gather them, while he took his Burden upon him, and bore up the Hea­vens with his Shoulders.

12. The last Injunction which he received from Eury­stheus, was to fetch from Hell the Dog Cer [...]erus, from whence he brought also Theseus, that was gone down to keep Company with his dear Friend Pirathous.

These glorious Actions made Hercules dreadful to Eury­stheus, and to all Princes in the World. Afterwards there was no Tyrant, nor Monster known, but he undertook to [Page 312] destroy them; thus he put to Death Cacus (the Son of Vul­can, who had three Heads) because he was a notable Rob­ber, who did spoil and destroy all that came near the Mount Aventin. From thence he went to Mount Caucasus, where he delivered Prometheus, and killed the Eagle that devoured his Liver. He had also an Encounter with Antaeus, the Son of the Earth, who was of a prodigious Bigness and did commit all Manner of Cruelties; Hercules lifted him up in his Arms, and pressed the Breath out of his Body.

But as Hercules was big, and of an high Stature, a small Matter was not sufficient to nourish him, for as he walked in the Fields, one Day when he was hungry, he met Theo­damus tilling the Ground, he snatched from him one of hi [...] Oxen, which he laid upon his Shoulders, and devoured every Bit of it before Theodamus, who loaded him all the while with Curses and Imprecations.

He made a Journey into Spain, where he separated the two Mountains, Calpe and Abyla, to let the main Ocean in­to the Land, by the Straits of Gibraltar; these two Moun­tains situated one against another, Calpe in Spain, and Abyla in Mauritania, do appear afar off as two Pillars, they are said to be the two Pillars of Hercules, where he engraved these Words, Non plus ultra; as if these were the [...] [...]ounds of the World, beyond which he could not enlar [...] [...] Do­minions. In all his Conquests, he made Use of a [...] of an Olive Tree, which at last he dedicated to Mercury, the God of Eloquence, whose Virtue he acknowledged to be more profitable than the Power of Arms.

To re-count all that the Antients have recorded of this famous Man, would make a pretty large Volume, and per­haps not be so agreeable to some Persons as this Epitome▪ therefore we will just hint at the Catastrophe of Hercules, and conclude our Narrative.

Like the Heroes of old, he was enamour'd with Women; he married Megara, the Daughter of Cr [...]on, King of Thebes, whom he afterwards killed; then he became a Slave to Om­phale, Queen of Lydia, for whom he changed his Club for spinning Instruments, and his Lion's Skin for the Garments of a waiting Maid. Afterwards he became amorous of De­janira, for whom he was to fight A [...]helous, the Son of [...]etys, whom he conquered; and returning with her to a River [...]s Side, where Nessus the Centaur offered his Service to carry her behind him to the other Side; when the Traitor [Page 313] came over, he would have abused her, had not Hercules pierced▪ him with an Arrow to the Heart; when he was ready to expire, he resolved to revenge himself in this Man­ner: He gave his Garment dropping with his Blood to Dejanira, persuading her, that if her Husband did wear it but once, he would never have Love for other Women. The silly Creature believes him, therefore she sent it to him by Lychas his Man, when he was sacrificing upon Mount Oeta; but it fell not out as she had imagined, for as soon as he had put on this Coat, the Blood of Nessus, which was a most powerful Poison, caused so great a Burning all over his Body, that in Despair he cast himself into a flaming Pile of Wood, and there was consumed to Ashes.

His Servant Lychas was drowned in the Sea, where he was changed into a Rock, and Dejanira, for Grief, killed herself, with a Blow of her Husband's Club.

Hercules, before he died, obliged Philoctetes, the Son of Pean, his Companion and Friend, to swear unto him never to discover the Place where his Ashes and Bones were bu­ried▪ he then delivered unto him his Arrows, colour'd with the Blood of the Hydra, which were afterwards car­ried to the Siege of Troy.

A short Historical Table of the most remarkable Events, that happened in the World, from the Creation to the Death of Julius Caesar.

THE most antient History we have, is the Bible; from that we learn, that it is now upwards of 5700 Years since the World was created. But the Account which Moses gives is so very concise, that for the first 2000 Years we have very little Information what was done amongst Mankind, save that they were so exceeding wicked, that in all the World only Noah, and his Family, found Favour with God, and were preserved from that Deluge which destroyed the whole Earth besides. A. M. 1657 B. C. 2347

The Building of Babel (or Babylon) The Di­vision of Languages, and the Dispersion of Mankind. A. M. 1575 B. C. 2247

[Page 314] [...] the Son of C [...]sh founds the Babylonian Empire, Assur the Son of Shem builds a City (which was afterwards called Nineveh) and founds the Assyrian Empire. A. M. 1814 B. C.

The Monarchy of Egypt established by Mis­raim, the Son of Ham.

Fohi first King of China.

The Arabians Pastoral Kings of Egypt. A. M. 1920 B. C.

The Death of Noah in the 950th Year of his Age, 350 Years after the Flood.

The Birth of Abraham. A. M. 2009 B. C.

The Kingdom of the Argives, established un­der Inachus. A. M. 2168 B. C.

The Chaldeans take Babylon. A. M. 2242 B. C.

Joseph sold into Egypt. A. M. 2299 B. C.

The Birth of Moses. A. M. 2430 B. C.

A Colony from Eg [...]pt, under the Command of Cecrops, build the City of Athens. A. M. 2467 B. C.

The Chaldeans drove out of Babylon by the Arabians. A. M. 2494 B. C.

The Israelites delivered from Egypt by Moses. A. M. 2513 B. C.

Sesostris, King of Egypt, conquers Arabia, Persia, India, Scythia, Thrace, Asia the Less, Syria, in about nine Years. A. M. 2522 B. C.

The famous Philosopher Hermes Trismegistus, was Privy Counsellor to this Monarch.

The Destruction of Troy. A. M. 2820 B. C.

Aeneas flies into Italy, kills Turnus King of the Rutuli, in a single Combat; marries Lavi­nia, Daughter of Latinus, and builds the City of Lavinium. The Aeneid of Virgil is built upon this Story. A. M. 2835 B. C.

The Temple of Jerusalem built by Solomon. A. M. 3000 B. C.

The Olympick Games, which were first institu­ted by Hercules, at the Foot of Mount O­lympus, in Honour of his Father Jupiter, are revived in Peloponnesus by Iphytus. From hence the Greeks begin the Epocha of their Olympiads. A. M. 3228 B. C.

Rome built by Romulus, first King of Rome. A. M. 3251 B. C.

About this Time lived Homer and Hesiod, Greek Poets.

[Page 315] [...]danapalus having provoked his Subjects by his Effeminacies to rebel against him, and being besieged in Nineveh by Nabonasar and Arbaces, his Lieutenants-General, burns himself, his Wives, hi [...] Children, and all his Treasures▪ A. M. 3257 B. C.

[...]curgus persuades the Lacedemonians to change their Form of Government, which was mo­narchial, to a mixt Form of Monarchy and Aristocracy. A. M. 3278 B. C.

[...]orinth, about 600 Years after its first Build­ing, alters its Form of Government from Monarchial to a Republick. A. M. 3290 B. C.

[...]uma Pompilius, second King of Rome, be­gins to reign, divides the Year into twelve Months. A. M. B. C.

The Destruction of the first Temple of Jerusa­lem, by Nebuchadnezzar King of Babylon. A. M. 3416 B. C.

About this Time lived Daniel the Prophet; Arion, Alceus, Epimenides, Greek Poets; Sappho the Poetess, and Pythagoras the Phi­losopher.

[...]oesus, the last King of Lydia, defeated and taken Prisoner by Cyrus. A. M. 3456 B. C.

About this Time lived the seven wise Men of Greece, viz. Thales the Milesian, Chilon the Lacedem [...], Cleobulus of Corinth, By [...] of Prye [...] Pittacus of Mytilene, and [...] of Salamis.

Cyrus sets the Jews at Liberty. A. M. 3464 B. C.

Now sung the merry Poet Anacreon.

Tarquin the Proud, the seventh and last King of Rome, expelled. Rome had now been go­verned by Kings 245 Years. Afterwards two Consuls were annually elected in their Place. A. M. 3496 B. C.

Rome besieged by Porsenna, King of the Tus­cans, in Favour of Tarquin. A. M. 3496 B. C.

Darius King of Persia, sends to demand Earth and Water, as Homage from the Grecian Cities in Europe; and having sent a great Army against the Grecians, they win the fa­mous Battle of Marathon, by the Conduct of Miltiades the Athenian General. A. M. 2511 B. C.

[Page 316]Tribunes established for the Roman People. A. M. 3520 B. C.

Quintus Cincinnatus the first Dictator chose by the Romans.

Leonidas, at the Streights of Thermopilae, with 300 Lacedemonians, who all died upon the Spot, kills 2000 Persians. A. M. 3525 B. C.

Pindar and Symonides, Lyrick Poets, and So­phocles and Eurypides, Tragick Poets, flou­rished about this Time.

The Jews finish the Building of their Temple, from whence they begin their seventy Weeks▪ A. M. 3550 B. C.

About this Time lived Aeschylus the Poet, He­rodotus and Thucydides the Historians, and Isocrates the Orator.

The Peloponnesian War began between the A­thenians and Lacedemonians. A. M. 3571 B. C.

Themistocles banished by the Athenians. A. M. 3590 B. C.

Aristophanes the Poet, Socra [...]es the Philosopher, and Alcibiades the Athenian General, lived about this Time.

Alexander the Great born. A. M. 3648 B. C.

Plato dies.

Demosthenes the Athenian Orator, Diogenes the Cynick, and Aristotle the Philosopher, lived about this Time. Alexander, after having reigned 12 Years, in which Time he co [...]quered the greatest Part of the know [...] world, dies in the 32d Year of his Age. A. M. 3680 B. C.

Now flourished Heraclitus, Democritus, Zeno, Euclid, and Epicurus.

Arsaces frees the Parthians from the Macedo­nian Yoke, and lays the Foundation of the Parthian Empire. A. M. 3758 B. C.

About this Time lived Berosus the Chaldean, who writ the History of Assyria and Baby­lon, and Plautus the Poet at Rome.

The first Punick War begun. A. M. 3768 B. C.

The second Punick War begun by Hannibal. A. M. 3795 B. C.

Scipio vanquishes Hannibal in Africa. A. M. 3802 B. C.

About this Time lived Ennius and Terence, Roman Poets.

Divisions at Rome between the Senate and Peo­ple. Marius sides with the People. Sylla [Page 317] [...]pposes and kills him. This was the first Civil War among the Romans. A. M. B. C. 81

[...]odorus Siculus, the Greek Historian, flourish­ed about this Time, and Cicero the Roman Orator. Cato being besieged by Caesar at Utica, kills himself. A. M. 3958 B. C. 46

[...] this Time the Julian Account came in Use, Caesar, as sovereign Priest, having reform­ed the Kalendar.

[...] returning to Rome, celebrates five Tri­umphs, for Gaul, Egypt, Pontus, Africk and Spain. A. M. 3959 B. C. 45

[...]he great Power and Honours given to Caesar by the Romans, alarm some of the chief Nobility, and occasion the Conspiracy a­gainst him by Brutus, Cassius, Trebonius, Casca, and others, who kill him in the Se­nate House A. M. 3960 B. C. 44

[...]he Senate and People of Rome, by general Consent, confer on Octavianus the whole Monarchy of the Roman Empire, with the Name of Augustus, which he and his Suc­cessors ever after bore.

The Glory of the Romans was now at its full Height. At this Time flourished Dionysius Halicarnasseus the Greek, and Titus Livius the Roman Historian; together with the Poets, [...] Horace, Ovid, Cornelius, Gal­lus, [...] Propertius, with many others of great Note▪ In fine, all Kinds of polite Learning and Science, did never so univer­sally flourish, as in the Augustan Age.

A short Abstract of the History of England.

JULIUS CAESAR invaded Britain, and made it tributary to the Romans in the Year of [...]he World 3945. About 100 Years after,

Claudius Caesar made an Expedition into Britain, [...]nd conquered Part of the Island. A.D. 43

Nero succeeding in the Empire, sent his Lieutenant [...] nius Paulus into Britain; but the Britons set upon [...]im, and [...]lew 70,000 Romans; but in the next En­ [...]unter 80,000 Britons were slain. A.D. 57

[Page 318] Titus Vespasian sent his Deputy, Julius Agricola, who victoriously extended the Roman Province in Bri­tain beyond all his Predecessors. A.D.

And thus the Romans for the Space of 500 Years reigned in Britain: At last the Britons elected them­selves several Kings to manage their Wars against the Picts and Scots, and being deserted by the Romans, they invited the Saxons to their Assistance, who ac­cordingly landed in the Island under the Conduct of two Brothers, Hengist and Horso, who advancing as far as Stamford in Lincolnshire, gave Battle to the Scots and Picts, and vanquished them. A.D.

The Saxons by Degrees over-run the whole Island, and divided it into seven Kingdoms (called the Hep­tarchy.) The Island continued in this State upwards of 360 Years, when Egbert King of the West Saxons reduced all the contending Kings under his Subjection, and gave the Name of England to the Kingdom, from the Angles whence he came. He was the first sole Monarch of England, and having reigned 17 Years died. A.D.

In his Reign the Danes first invaded England with 32 Ships, consisting of 23000 Men, but were put to Flight.

Ethelwolf, Egbert's eldest Son, succeeded and reign­ed 20 Years. A.D. 85

Ethelbald, eldest Son of Ethelwolf, succeeded his Father, and reigned two Years. A.D.

Ethelbert, his Brother, succeeded, and [...]igned se­ven Years. A.D.

Ethelred, third Son of Ethelwolf, succeeded; and hav [...]ng reigned seven Years, was slain in Battle against the Danes, who were now very numerous in the Kingdom. A.D.

Alfred, fourth Son of Ethelwolf, succeeded; he fought nine Battles with the Danes in one Year, and forced them to depart the Kingdom. He first put the English upon building Ships, and so securing themselves by Sea▪ He cleared the Land of Thieves and Robbers: And for the better Administration of Justice, he divided the Kingdom into Shires, Hun­dreds and Tithes. He founded the first College in Oxford, now called University College. For his Vir­ [...]es, [Page 319] Learning and Abilities, he was honoured with [...]he Title of Alfred the Great, and may justly be cal­led the first Civilizer of the English Nation. He reigned 20 Years. A.D. 901

Edward the elder succeeded his Father, and reigned 23 Years. A.D. 924

Ethalstan, Edward's eldest Son, succeeded, and reigned 16 Years. He caused the Bible to be trans­lated into English. A.D. 940

Edmund succeeded his Brother Ethalstan, and reigned 6 Years. A.D. 946

Eldred reigned 9 Years. A.D. 955

[...] reigned 4 Years, and was deposed by the Monks. A.D. 959

Edgar his Brother succeeded; he cleared the Land of Wolves and wild Beasts. He reigned 16 Years. A.D. 975

Edward the Younger reigned 3 Years. A.D. 978

Ethelred reigned 38 Years, in his Reign there was a great Massacre of the Danes, who were become intolerable to the English. He dying, A.D. 1016

Edmond Ironside, the Son of Ethelred, succeeded; bu [...] [...] was rivalled by Canute the Dane, with whom he [...] to share the Government; and after his [...] [...]he Danes became sole Masters of the [...] it had been in Possession of the Saxons [...] continued their Sovereignty about 24 [...] 3 Kings, viz.

[...] 14 Years.

[...] 7 Years, and

[...] 3 Years. A.D. 1042

The [...] the Confessor, the 7th Son [...] collected all the Laws of his [...], which is the Ori­gin of ou [...] [...]. He was the first of our Kings that attempted to cure the King's Evil with a Touch, and the first that signed [...] [...]atents with the Seal now called the King's Broad Seal. He reigned 24 Years. A.D. 1060

After his Decease, Harold, Son [...] Godwin, Earl of Kent, was chose King; but befo [...] [...] had reigned a Year, William Duke of Norman [...] p [...]ending a Right to the Crown of England, [...] Sussex on the 8th of September 1066, and [...] of Oc­tober [Page 320] following was fought [...] Battle of Hastings, in which was kille [...] [...] and his two Brothers, most of the [...]nglish Nobility, and 97974 common Soldiers.

WILLIAM the Conqueror,

Was crowned King of England on Christmas Day. A.D. 1066

He built the Tower of London.

He caused a Survey to be taken of the whole King­dom (which is still to be seen in the Book called Dooms-Day Book, kept in the Tower of London) and raised from every Hide of Land (or 100 Acres) Six Shillings.

He first appointed Justices of the Peace and Juries, ordained the Courts of Chancery and Exchequer.

He pulled down 36 Parish Churches, and dispeo­pled the Country in Hampshire for 30 Miles in Com­pass, to make a Chace for hunting, now called the New-Forest.

In the Year 1072, Waltheof, Earl of Huntington, was beheaded, the first Nobleman that ever was be­headed in England.

He reigned 21 Years, and was crowned every Year a new.

He appointed, by his Will, his second Son,

WILLIAM RUFUS,

To succeed him, who was crowned. A.D.

Anselm, Archbishop of Canterbury, is banished the Kingdom, for maintgining the Pope's Supremacy a­gainst the King's Prerogative.

Malcolm, King of Scotland, invades England, and is killed by King William.

In this King's Reign the Holy War was first un­dertaken, which continued near 300 Years.

He built Westminster-Hall, which is 270 Feet long▪ and 74 broad.

The Sea overflowed its Banks, and drowned 4000 Acres of Land, which had been Earl Godwin's, now called Godwin's Sands in Kent.

Having reigned near 13 Years, he was shot by Sir Walter Tyrrel, levelling an Arrow at a Deer.

HENRY I.

The youngest Son of the Conqueror succeeded. A.D. 1100

[Page 321]In this Reign St. Bartholomew's Hospital, in Smithfield, was founded by a Jester of the King's, named Rejor. Before this, Smithfield was the Place where all Malefactors were executed. Now lived Jeoffroy of Monmouth the Historian. The first Parliament of England was summoned by this King at Salisbury. He died by a Surfeit of Lampreys, af­ter he had reigned 35 Years.

STEPHEN,

Grandson of the Conqueror, by Alice his Daugh­ter, succeeded to the Crown. A.D. 1135

He granted to his Subjects a Charter of some Im­munities, dated under his Hand at Oxford.

In this Reign great Part of the Cities of London, York and Rochester, were destroyed by Fire.

He reigned 18 Years and 10 Months.

HENRY II.

Son to Maud the Empress, sole Daughter of Hen­ry I. succeeded. A.D. 1154

Coaches were now first used in England.

Thomas Becket, Archbishop of Canterbury, mur­dered in the Church. London-Bridge built of Wood.

The City of Leicester was burnt by the King's Command.

He divided the Kingdom into six Circuits, and appointed three itinerant Justices for each of them.

He kept the famous Rosamond, Daughter of Lord Clifford, in a secret Bower at Woodstock; but being discovered by Queen Eleanor, she was poisoned.

He reigned 35 Years, and was succeeded by his Son A.D. 1189

RICHARD I.

He was surnamed for his Courage, Coeur de Lion.

On his Coronation Day, the 3d of September, was a great Slaughter of the Jews.

About this Time lived Robin Hood and Little John.

In this Reign was the first Lord Mayor chosen, named Henry Fitz Alwyn, who was Mayor 24 Years together. London before was always governed by a Magistrate called the Port Shreve, or Pro­vost

He reigned upwards of 9 Years, and was succeed­ed by his Brother

[Page 322]

JOHN. A.D. 1199

He had like to have lost his Kingdom to the French.

The Barons Wars begun.

King John submits himself, and his Kingdom, to the Pope's Legate.

He grants Letters Patents to the Citizens to chuse a Mayor Yearly.

In the Year 1209, London-Bridge (which before was made of Wood) was built of Stone, by three Merchants, viz. Mercer, Alman and Boetwright.

He reigned about 17 Years, and was succeeded by his Son

HENRY III.

This King confirmed the Statute of Magna Charta. A.D. 1216

Made his eldest Son Prince of Wales, which Ti­tle the King's eldest Son hath retained ever since.

He fortified the Tower of London with a Bulwark, which was built twice, and twice overthrown in one Year's Time.

He caused a Chest of Gold to be made for laying up the Relicks of King Edward the Confessor, in the Church of Westminster.

He reigned 56 Years, and was succeeded by his Son

EDWARD I.

This King first ordered Farthings and Half-pence A.D. 1272 to be made.

In his Reign Corn was first sold by Weight.

His Consort Queen Eleanor, dying near Lincoln, was brought up to be buried at Westminster, and at every Place where the Corpse rested he built a mag­nificent Cross, with her Image upon it. Coventry Cross, Cheapside Cross, and Charing Cross, were three of them.

In the Year 1294, was the first Alderman chose, being Nicholas Farringdon.

He reigned upwards of 34 Years, and was suc­ceeded by his Son

EDWARD II.

Who rendered himself hateful to his Subjects, by A.D. 1306 his unreasonable Attachment to his Favourites Pierce, Gaviston, and the Spencers; and having reigned up­wards [Page 323] of 19 Years was deposed by the Parliament, [...]nd forced to resign his Kingdom to his Son.

In his Reign lived Sir John Mandeville, the greatest Traveller, and the greatest Liar in the World.

EDWARD III. A.D. 1326

This was one of the greatest Princes that ever sat on the English Throne; he subdued Scotland, con­quered France, and appointed himself to be called King of England and France, quartering the Arms of the two Kingdoms together.

He instituted the Order of the Garter; his Son the Black Prince took the King of France Prisoner, and brought him to England.

He commanded all Pleas to be made in English, and not in French, as had been used from the Con­quest.

He built the Castle of Windsor.

Fifty Thousand died in London of the Plague in one Year.

About this Time lived Wickliffe, one of the first who ventured to expose the Errors of the Church of Rome, and Dr. Orum of Oxford, who wrote an Epistle from Lucifer to the Clergy, thanking them for sending so many Souls to Hell.

He reigned 50 Years, and was succeeded by his Grandson

RICHARD II. A.D. 1377

In his Reign, Powder, and the Use of Guns, were first found out.

The Rebellion of Wat Tyler and Jack Straw.

Chaucer the Father of English Poetry lived now.

Richard II. For many Enormities, was deposed, after he had reigned 22 Years, and was afterwards murdered in Pomfret Castle.

HENRY IV.

Son of John of Gaunt, Duke of Lancaster, suc­ceeded him, being chosen by the Consent of the People. A.D. 1399

In this King's Reign, at Skinnerswell, near Clerken­well, was a great Play which lasted seven Days, con­ [...]aining a Representation of several Things from the [...]eation of the World: Most of the Nobility and [Page 324] Gentry of the Kingdom were present at it; and afterwards began a royal Tournament in Smith­field.

He reigned 13 Years, and was succeeded by his Son

HENRY V.

Who, though during his Father's Reign, he lived dissolutely, robbing upon the Highway, and associating only with Whores and Villains, yet when he came to the Crown, proved one of the wisest and most valiant Kings the English ever had. A.D. 1412

In his Reign Sir John Oldcastle, Sir Roger Acton, and 28 more, were hanged and burnt at Smithfield, for maintaining Dr. Wickliffe's Opinions.

He reigned upwards of nine Years, and was suc­ [...]eeded by his Son

HENRY VI. A.D. 1422

In his Reign was paid the first Custom for all Merchandizes imported and exported out of the Realm, settled by an Act of Parliament but for three Years, in which was a Proviso, that it should never be made a Precedent for the like to be do [...] after that Term was expired: But all his Successors have had it for Life, so forcible is a Precedent once fixed in the Crown.

Eleanor Cobham, Dutchess of Gloucester, is accused and convicted of Witchcraft, and obliged to do pub­lick Penance for the same.

In 1450 was Jack Cade's Rebellion.

Printing first invented.

After he had reigned 38 Years he was deposed by

EDWARD IV. A.D. 1460

Who after nine bloody Battles was quietly seated in his Dominions.

This King sat in Person three Days together, to see how hi [...] Laws were executed▪

In this King's Reign, George Nevill, Archbishop of York, made a [...], an Account of which is a­mong the Records of the Tower, viz. 300 Q [...]ters of W [...]eat, 3 [...]0 Tons of Ale, 100 Tons of Wine, 104 Oxen, 6 Wild B [...]lls, 100 Sheep, 608 Calve [...], 400 Swine, 30 [...]0 Geese, 1000 Capons, 3000 Pigs, 400 [Page 325] Plovers, besides Quails, Bees, Peacocks, Mallards, [...]eals, Cranes, Kids, and above 20 other several [...]orts of Things, each in proportionable Numbers to what is above.

He reigned 22 Years, and was succeeded by his Son

EDWARD V. A.D. 1483

Who was but 13 Years old, and before his Coro­nation was murdered in the Tower of London by his unnatural Uncle.

RICHARD III.

The English Nero, who to make his Way clear to the Crown, murdered, 1. King Henry VI. 2. Prince Edward his Son. 3. George Duke of Clarence his Brother. 4. Hastings, a faithful Servant to King Edward IV. 5. Rivers. 6. Vaughan. 7. Grey. Three of the Queen's Kindred. 8. Edward V. his Sovereign, with, 9. his young Cousin Richard. 10. Henry Duke of Buckingham his dear Friend, and great Coadjutor in these impious Practices. And, 11. his Wife Anna, in order to make Way to an incestuous Match with his Cousin Elizabeth.

There was at this Time, at the French Court, Henry Earl of Richmond, of the House of Lancaster; to him the Crown of England was proposed, with this Proviso, that he should marry Elizabeth eldest Daughter of King Edward IV. and thereby unite the two Houses of York and Lancaster. Upon this the Earl makes▪ Haste into England, and being still reinforced as he advanced, he at last encounters King Richard at Bosworth in Leicestershire; in which Battle King Richard was killed, and the Crown con­ferred upon the Earl.

And thus an End was put to the Wars between the two Houses of York and Lancaster, which began upon the Intrusion of King Henry IV. and in which was fought 12 pitched Battles, and two Kings, 1 Prince, 10 Dukes, 2 Marquisses, 21 Earls, 27 Lords, 2 Viscounts, 1 Lord Prior, 1 Judge, 139 Knights, 441 Esquires, and 84998 private Soldiers were slain.

King Richard having thus tyrannized upwards of two Years,

[Page 326]

HENRY VII. A.D. 148

Son to Edmond Tudor, Earl of Richmond, and Grandson to John of Gaunt, Duke of Lancaster, was crowned King of England.

He called a Parliament, in which an Act was pas­sed for settling the Crown upon the Person of King Henry, and the Heirs of his Body successively for ever.

He first appointed the Band of tall Men to attend him, called Yeomen of the Guard, which no King before, but all the Kings and Queens since, have kept under that Denomination.

In this King's Reign happened that strange Disease called the Sweating Sickness, which lasted about a Month, and killed many Thousands of People; two Lord Mayors died of it in one Week.

About this Time the Pox was first known in Eng­land.

In 1491, Ferdinand V. King of Spain, took the City and Country of Granada from the Moors, which they had been possessed of above 700 Years, on which Account the Pope gave him the Title of the Most Catholick King.

Henry VII. reigned 23 Years and 8 Months, and was succeeded by his Son

HENRY VIII. A.D. 150

This King began the first Reformation of Reli­gion, banishing the Pope's Supremacy out of Eng­land, though formerly he himself had wrote a Book against Martin Luth [...]r, for which Pope Leo X. en­titled him, Defender of the Faith, &c.

He built St. James's House, and converted the Meadows about it into a Park, called St. James's Park.

In his Time Beef and Mutton were first ordered to be sold by Weight, viz. Beef at a Halfpenny a Pound, and Mutton at three Farthings.

The principal Favourite, and first Minister of this King, was the famous Cardinal Woolsey, who built Whitehall; and, though but the Son of a Butcher, rose to a greater Power, and was invested with more Honour than any Subject of England, either be­fore or since.

[Page 327]King Henry VIII. having reigned 37 Years, died, and was succeeded by his Son

EDWARD VI. A.D. 1546

Who pursued the Reformation begun by his Fa­ther, and, in 1548, the Church Service was first sung in English.

Having reigned upwards of six Years, he died, [...]nd appointed for his Successor the Lady Jane Grey, Daughter of the Dutchess of Suffolk, who was ac­cordingly proclaimed Queen of England; but,

Queen MARY, A.D. 1552

Asserting her Right, as King Edward's Sister by Queen Catharine, the first Wife of Henry VIII. and coming to London with some Forces, was proclaimed Queen of England, and crowned.

In her Reign died 3 Dukes, 3 Lords, the Lady Jane Grey, and several others who professed the Re­formation.

In her Time a Barrel of Beer, with the Cask, cost [...]ut Six-pence, and four great Loaves of Bread were [...]old for a Penny.

Queen Mary reigned but five Years, and was suc­ceeded by her Sister

ELIZABETH. A.D. 1557

She again encouraged the Reformation, which Queen Mary had discountenanced: She was, perhaps, [...]he greatest and most powerful Monarch that ever sat on the English Throne. She succoured the Scots a­gainst the French, the French Protestants against the Papists, and both against the Spaniards. She com­manded the whole Ocean, and destroyed the Spanish Armada, which was thought to be invincible.

In her Reign Sir Thomas Gresham, built the Royal Exchange.

Tobacco was first brought into England. Sir Wal­ [...]r Raleigh first discovered Virginia, so called by [...]im in Honour of his Virgin Mistress Queen Eliza­ [...]eth.

In her Reign lived the great Poets Spencer and [...]hakespear; Likewise Lord Bacon, Sir Philip Sidney, [...] Walter Raleigh, Sir Francis Drake, and several [...]ther great Men.

[Page 328]Queen Elizabeth reigned upwards of 44 Years, and was succeeded by

JAMES I. A.D.

Of the Family of the Stuarts (the Name of the Tudors expiring in Queen Elizabeth) Kings of Scot­land. He united the Kingdoms of England and Scotland, which then took the Denomination of Great-Britain.

He caused the Bible to be new translated from the Original Languages, which is the Translation now used.

In this Reign the English Plantations were first set­tled in the West-Indies.

In the Year 1605 was a terrible Plague in Lon­don, of which died near 100,000 Persons.

Silk Worms first brought into England.

King James reigned 22 Years, and was succeeded by his Son

CHARLES I. A.D.

This unhappy King, though a weak Man, had some Virtues, but endeavouring to extend the Pre­rogative of the Crown too far, and in some Instan­ces exercising an arbritary Power, he was accused by his own Subjects of High Treason against the Laws of the Land; and, after a troublesome Reign of near 24 Years, was beheaded on a Scaffold before the Gates of his own Palace.

But though King Charles was generally for ex­tending the Royal Power beyond its legal Bounds, yet in his Reign several excellent Laws were made for the Security of the Subjects Liberties; particu­larly, in his third Year the Petition of Rights was made into a Law, in which it is enacted, That no Subject shall be compelled to any Gift or Contribu­tion to the King, but by Consent of Parliament: Soldiers are forbidden to be quartered in private Houses, and Martial Law is annulled. In his 16th Year was passed, what was then called the Triennial Act, intituled, A Bill to prevent Inconveniencies from long Intermission of Parliament. By this Act, if the King should refuse to summon a Parliament at the End of three Years, the Chancellor or Keeper might issue out Writs to summon the Peers, and elect the [Page 329] Commons: If the Chancellor or Keeper should ne­ [...]ect this, any 12 of the Peers might summon the [...]arliament: If the Peers should not send out their Summons, the Sheriffs in Counties, and other Magi­ [...]trates, might cause Election to be made; and i [...] these [...]hould omit their Duty, the Electors might assemble [...]hemselves, and chuse Members.

After the Death of King Charles, the Government of England was changed from Monarchial to a Com­monwealth, in which

OLIVER CROMWELL A.D. 1648

Presided by the Title of the Lord Protector, and continued to direct the Affairs of the Nation for the Space of 12 Years

At this Time, and in the preceding Reign, the whole People of England were stark mad with Bigot­ [...]y and Enthusiasm.

Some Time after the Death of Oliver Cromwell, [...]he Nation weary with perpetual Changes of Go­vernment and Religion recalled the Son of their [...]ate Monarch from Banishment, and accordingly on [...]he 23d of April

CHARLES II. A.D. 1661

Was crowned King of Great-Britain. He was a Man of much Wit and Gallantry▪ and in his Reign [...]he Manners of the People were quite changed: For whereas before, it would have been esteemed pro­ [...]ane and irreligious, even to have eat an Oyster without a long Prayer or a Psalm; it was now [...]hought almost superstitious to believe in God.

In the 5th Year of his Reign happene [...] [...] dreadful Fire in London, which in the Space o [...] [...] Days [...]urnt 78 Parish Churches, and 13000 Houses▪

King Charles II. reigned 36 Years including the Protectorship of Cromwell, and was succeeded by his Brother

JAMES II. A.D. 1684

Who endeavouring to introduce the Roman Catho­ [...]ck Religion, was obliged to quit his Dominions; [...]hich brought about the Revolution under

WILLIAM III. A.D. 1688

In which the Civil and Religious Liberties of the [...]ople of England were fixed upon better Princi­ples, [Page 330] and a surer Foundation, than they ever had been before.

Queen ANNE

Was proclaimed on the 8th of March, 1701. She was the youngest Daughter of King James II. by the Lady Hide, Daughter of the Earl of Clarendon. She reigned in the Hearts and Affections of her Sub­jects 12 Years, 4 Months, and died, universally la­mented, on August 1, 1714, leaving the Throne to

GEORGE I.

Who reigned 12 Years 4 Months, and died at Hanover, leaving the Imperial Crown of these Realms to his Son

GEORGE II.

Our most gracious Sovereign now reigning; whom God long preserve▪

To innoculate FRUIT-TREES.

ABOUT Midsummer, or a Month before or after, take off a vigorous Shoot from a Tree you would propagate; then make Choice of a Stock about three o [...] four Years Growth, and in a smooth Part of it make a downright Slit in the Bark, a little above an Inch long, and another crosswise at the Bottom of that, to give Way to the Opening of the Bark; then with your Penknife gently loosen the Bark from the Wood on both Sides, be­ginning at the Bottom; next prepare your Bud, by cutting it off with your Knife, entering pretty deep into the Wood as much above as below the Bud, to the Length of the Slit in the Stock; after the Bud is thus prepared, with the Point of your Knife and your Thumb take out the woody Part of it, carefully preserving the Eye of the Bud; the [...] put your Bud in between the Bark and the Wood of the Stock at the cross Slit, leading it upward by the Stalk▪ where the Leaf grew, till it exactly closes; then bind it a [...]bout with coarse Woollen Yarn, the better to make al [...] Parts of it close regularly, and the Bud incorporate with the Stocks, and the Operation is done.

The Bud will be incorporated in about three Week [...] Time, and then you must loosen the Yarn, that it may no [...] gall the Place too much; the quicker this is done the bet [...]ter. [Page 331] You may put two or three Buds into one Stock of Peaches and Nectarines, that if one don [...] succeed another may; and if your Buds inoculated in the Month of June, or before, don't hit, you may make a second Attempt the same Year, and on the same Stock, with better Success. Let all Buds be taken off of the vigorous growing Shoot, and used immediately.

To graff FRUIT-TREES.

Graffing (or Ingraffing, or Grafting) is of four Sorts. 1. In the Cleft. 2. In the Bark. 3. By Approach. And 4. Whip-Graffing. Of each of these in order. 1. Graffing in the Cleft, or Slit Graffing. This is performed on the Pear, Cherry and Plumb Stocks. After you have chose your Stock, cut off the Head in a smooth Place, sloping; then e­ven the Top horizontally with your Knife; this being done, make a Slit near two Inches deep down the Middle of the Stock, with a large strong Penknife; then prepare your Cy­on (taken from a vigorous Shoot of the foregoing Year, which was prepared in January) sloping it on each Side, from a Bud or Eye, but leaving it thiner on that Side which goes into the Stock than on the Outside, so that it may conform itself to the Slit in the Stock; then place the Cyon in the Stock, and close the Bark of both exactly. After this is done, temper Clay and short Hay together, and putting it round the Stock and the lower Part of the Cyon, but so as not to disturb the Cyon, which must be left with more than three or four Eyes above the Stock. In case the Stock be large, you may put two Cyons in the Cleft; one on each Side. If the Stock be very large, use a Mallet and large Knife to make a Slit or Cleft. Let not your Cyons be loose nor pinched.

2. To graff in the Bark. This is only used for Apples; and you are to cut the Head of the Stock as in the former, and instead of slitting the Stock, slit only the Bark a little more than an Inch on the South-West Side, as long as the sloped Part of the Cyon; at the Top of the Slit loosen the Bark with your Knife, then with a smooth Instrument of Ivory or hard Wood cut sloping as the Cyon, make Room for the Cyon, by thrusting it down between the Bark and the Wood of the Stock, where it was slit; next take your Cyon (being prepared with a flat Slope about an Inch long, ending in a Point, and begun from the Back of an Eye) and put it into the Stock, thrusting the Top of the Slope as [Page 332] low as the Top Surface of the Stock; then order the Bark on each Side the Cyon, that it may fall close to the Stock [...] then clay it over as before.

3. Graffing by Approach or Inarching. This is performed where the Stock grows so near another Tree whose Fruit you would propagate, that it may be joined with a Branch of that Tree, by cutting the Sides of the Branch and Stock about three Inches long, and so fitting them, that the Passages of the Sap may meet; in which Posture let them be bound and clayed. When they are cemented, cut off the Head of the Stock, about four Inches above the Binding, and in March following cut off the Stub that was left of the Stock, and then close the graffed Place, that it may subsist by the Stock only. This Graffing is also per­formed by cutting off the Head of the Stock at first, slop­ping it about two Inches long, and joining the Cyon thereto. This Manner of Graffing agrees best with Vines, Oranges, Pomegranates, and such like.

4. Whip Graffing. This is where the Stock and Cyon are of the same Bigness; the Stock must be sloped an Inch or more, and also the Cyon; and then one is tied upon the other; or else a Shoulder may be mad [...] on the Cyon, to suit with which, the Top of the Stock should be cut; then bind them together, and clay them.

All these four Kinds of Graffing are performed chiefly in the Month of February.

Of Pruning FRUIT-TREES.

When a Tree is planted, and has produced two well dis­posed Branches, with some weak Ones intermixed, they are all to be shortened equally, to the Length of five or six Inches; and if the Position of the two Branches be irre­gular, there must be only one left to begin the Formation of the Figure of the [...] It sometimes happens, that a Tree will shoot five, six, or seven Branches, the first Year, in which Case three or four only of the best Branches are to be preserved. A Multitude of Branches the first Year; is not always a Sign of Vigour; for they sometimes prove weak, occasioned by the Infirmity of the Roots: But in the [...], generally a vigorous Tree cannot have too many [...], if they are well disposed; nor a weak Tree have too few. The Sap of all Trees must be kept in due [...]unds, and a greater Liberty is to be allowed to stro [...] Trees than weak Ones: For which Reason, strong, [Page 333] vigorous Branches, are left a greater Length than feebl [...] Ones, and it is best to prune weak, sickly Trees, early, tha [...] the Sap may not waste itself too much.

The most seasonable Time for this Work, is about the Month of February; but the more luxuriant a Tree is, the later it is pruned the better; and in such a Case, it is not too late to do it after the Tree has begun to shoot. Some Trees [...] the Vine) require several Prunings in the [...]

[...] Sort of Melasses made of Apples; the Account com­ [...]unicated to the Royal Society, by Paul Dudley, Esq of New-England, and published in the Philosophical Trans­actions, Numb. 374.

THE Apple that produces the Melasses is a Summer Sweeting of a middling Size, pleasant to the Taste, and full of Juice, so that 7 Bushels will make a Barrel of Cyder.

The Manner of making it is thus; you must grind and press the Apples, and then take the Juice and boil it in a Copper till three Quarters of it is wasted, which will be done in about 6 Hours gently boiling, and by that Time it comes to be of the Sweetness and Consistency of Melasses.

Some of our People scum the Cyder as it boils, others do not, and yet there seems to be no great Difference in the Goodness.

This new Melasses answers all the Ends of that made of the sweet Cane imported from beyond Sea. It serves not only for Food and Brewing, but is of great Use also in preserving of Cyder; two Quarts of it put into a Barrel of rack'd Cyder, will both preserve, and give it a very agreea­ble Colour.

The Apple Melasses was discovered a few Years since, by a Gentleman of my Acquaintance, at Woodstock, in this Pro­vince, a Town remote from the Sea, and where the West-India Melasses is dear and scarce; he ingenuously confesses the Discovery was purely accidental, but ever since he has supplied his Family with Melasses out of his Orchard, and his Neighbours also now do the like, to their great Advan­tage.

Our Country Farmers run much upon planting Orchards with these Sort of Sweetings, for fattening their Swine, and assure me it makes the best Sort of Po [...]k. And I know [Page 334] the Cyder made of them to be better than that of other Fruit, for Taste, Colour and Keeping.

A short Account of the British Plantations.

HUDSON's BAY,

A Very cold Country, and but thinly peopled with In­dians. The English have a [...]ort or two on the Bot­tom and West Side of the Bay, for the Sake of Trade with the Natives for Skins, which are chiefly Beaver, value a­bout 200,000 £. Sterling per Annum.

NEWFOUNDLAND,

A large Island, cold and barren; the Settlements and Fortresses few, and made only for the Sake of the Fishery upon the Coasts, which is the greatest in the World; the English, French, &c. loading near 600 Sail yearly with Cod­fish, which is carried to the Mediterranean, and other Parts of Europe. The Fishery in these Seas is an inexhaustible Fund of Wealth, and the P [...]ession of it deemed preferable to the Mines of Peru: It breeds great Numbers of hardy Seamen.

NOVA-SCOTIA, or ACADIA,

A fine, fertile Country, but not hitherto much cultivated. Its Coasts have many good Harbours, and Plenty of Fish, The Government is English, but most of the Inhabitants French, who submitted in the last War, on Condition of re­taining their Possessions, and remaining Neuter in all future Wars between the two Nations. Annapolis Royal was the Capital, a fortified Town, with an English Garrison. The Islands of Cape-Breton, belonging to this Territory, were given to France at the Peace of Utrecht, on which they built Louisburg, and fortified it with incredible Art and Ex­pence; but in the late War, it was reduced and taken, by the Wisdom of Governor SHIRLEY, and the Bravery of his New-England Troops, under General PEPPERRELL, countenan­ced by a Squadron of British Ships, commanded by the late active, vigilant and successful Commodore WARREN. At the Peace it was restored to France, and the English have since built Halifax on Chebouctou Harbour.

NEW-ENGLAND

Comprehends four several Governments, or Colonies; 1. The Massachusets. 2. New-Hampshire. 3. Connecticut. 4. Rhode-Island. The Climate is healthful; the People hardy, industrious and sober; the Laws and Government good; [Page 335] but the Soil generally not very fertile, and there being no Staple Commodity for Exportation, the Country is poor, and under great Difficulties to pay for what it wants from a­broad. There are many fine Harbours and Plenty of Fish on the Coasts, a great Number of pretty Towns, in every one of which is a Free School; BOSTON, the Capital, is esteem'd at present the greatest Town in North-America, and the best govern'd. Portsmouth is the chief Town in New-Hampshire. Newport the Capital of Rhode Island Go­vernment; and Hartford of Connecticut. In the two last named Governments they annually elect their Governors, &c. In the two former the Governors are appointed by the Crown. In Rhode-Island there is the greatest Liberty in Mat­ters of Religion. Their Money is Paper, continually de­creasing in Value; Silver and Gold, when any appears a­mong them, is bought up and remitted to England. Their first Settlement began about 1620. 'Tis supposed the disciplin'd Militia in the four Governments make near 100,000 Men.

NEW-YORK,

Is a Royal Government; both Governor and Council being appointed by the Crown. The People chuse the Assembly. It has not much Territory, and does not peo­ple very fast, being hindred, some say, by the exorbitant Grants of Lands made to particular Persons, who will not divide and sell, but keep it for their Posterity. The Capi­tal NEW-YORK, is seated at the Mouth of Hudson's River, very convenient for Trade, and makes a beautiful Appear­ance. The Inhabitants, a Mixture of En [...]lish, Low-Dutch, and French Protestants, and are a genteel, generous People The Produce Wheat, Bread, and Flour. The Money Gold and Silver, mixed with Paper. The first Settlement by the Dutch about the same Time with that of New-Eng­land by the English.

NEW-JERSEY,

A flourishing Colony, situated between New-York and Pennsylvania. The Soil is in many Parts very fertile, pro­ducing all Sorts of Grain, &c. The Government like that of New-York. The chief Towns, are Burlington, Ambo [...], Brunswick and Trenton. The Country in general well tim­ber'd and water'd, and inhabited by a very good Sort of People.

[Page 336]

PENNSYLVANIA.

One of the happiest Countries at this Time in the World; God grant it may long so continue.

MARYLAND and VIRGINIA,

Pleasant and fertile Countries. Their chief Produce Tobacco. The People remarkable for their Hospitality. The Settlement of Maryland began about 1631; that of Virginia 30 or 40 Years before.—The Governments of both Colonies are by Governor, Council and Assembly, but the Laws of Virginia, are said to be the most favourable for the People. No Countries in the World are better ac­commodated with navigable Waters.

NORTH and SOUTH-CAROLINA'S,

Are yet but thinly peopled. The Climate temperate; but the Air, in the low, flat Country, where the principal Settlements have hitherto been made, not healthful. Their chief Produce is Rice, Pitch, Tar and Turpentine. Back towards the Mountains the Land is said to be equally fer­tile, and the Air more wholesome, so that a fine Country may be expected there in Time. The first Settlement of the Carolina's was about the Year 1680.

GEORGIA,

A new, but declining Colony. There are few Inhabi­tants at present besides the Soldiery, who are maintained there by Great-Britain.

BERMUDAS,

First settled in 1612. No Part of the World enjoys a purer Air, or more temperate Climate than these Islands, so that for Health they are reckoned the Monspelier of A­merica. They are situated in Lat. 32. Deg. 30. Min. N. above [...]00 Leagues from the Continent.

JAMAICA,

Was taken from the Spaniards in 1655. A wealthy Island, but unhealthy, and subject to Earthquakes.

LEE [...]ARD ISLANDS,

Were settled by the English, viz. Antigua in 1666. Montserrat in 1632. Nevis in 1628. St. Christophers in 1626▪ Bar [...]uda in 1627. Anguilla in 1630. The chief Island and Seat of Government is ANTIGUA.

BARBADOS,

Was settled about the Year 1625. The Produce of this and the other West-India Islands is chiefly Sugar, Rum, &c. The Labour chiefly done by Slaves, as in Maryland, [Page 337] Virginia and Carolina: Their Governments generally much like, by a Governor, Council and Assembly. The Peo­ [...]le rich, genteel, generous and hospitable. The Trade [...]f the Colonies with one another and Great-Britain, em­ [...]loys a vast Number of Ships and Seamen. And most of [...]hose on the Continent encrease continually in People, parti­ [...]ularly Pennsylvania.

The FAMILY'S BEST COMPANION; giving instructions how to pickle and preserve; to make divers Sorts of Wines of our Product; together with many excellent and approved Medicines, Salves, &c. necessary in all Families.

Of Pickling, Preserving, Candying, &c.

To Pickle Cucumbers.

WASH them and dry them in a Cloth; then take Water, Vinegar, Salt, Fennel Tops, some Dill Tops, and a little Mac [...]; make it sharp enough to the Taste; then boil it a while; then take it off, and let it [...]tand till cold; then put in the Cucumbers, and stop them down close; and within a Week they will be fit to eat.

To pickle Cucumbers green.

Take two Quarts of Verjuice or Vinegar, and a Gallon of fair Water, a Pint of Bay salt, a Handful of green F [...]n­nel or Dill; boil it a little, and when cold, put it into a Barrel, and then put the Cucumbers to the Pickle, and you may keep them all the Year.

To pickle French Beans.

Take them before they are ripe, and cut off the Stalks; then take good Wine Vinegar, and boil with Pepper and Salt; season them to your Palate, and let it stand till cold; then take the Beans, and put them into a Pot, placing Dill between the Layers, and then put in the Pickle, and cover them close for three Weeks; then take the Pickle, and boil and put it to the Beans boiling hot; cover them close again, and, when cold, they will be sit to eat.

Or French Beans may be pickled thus: Take your Beans and string them, boil them tender, then take them off, and let them stand till cold; then put them into Pickle of Beer, Vinegar, Pepper, Salt, Cloves, Mace, and a little Ginger.

To pickle Eldern, or any other Buds of Trees.

Give them one or two Walms with Vinegar, Salt, whole Pepper, long Mace, and a little Lemon Peel in Pieces; [Page 338] then drain them, and let the Buds and Liquor cool sepa­rately; afterwards put them into a Pot, and cover them with your Pickle.

To pickle Walnuts to eat like Mangoes.

Take green Walnuts before the Shell is grown to any Hardness in them; pick them from the Stalks, and pu [...] them into cold Water, and set them on a gentle Fire till th [...] outward Skin begins to Peel off; then with coarse Cloth [...] wipe it off; then put them into a Pot, and put Water an [...] Salt therein, shifting it once a Day for ten Days, till th [...] Bitterness and Discolouring of the Water be gone; the [...] take a good Quantity of Mustard-seed, which beat up wit [...] Vinegar, till it becomes coarse Mustard; then take s [...]m [...] Cloves of Garlick, some Ginger, and a little beaten Clove [...] and Mace; make a Hole in each Nut, and put in a littl [...] of this; then take White-wine Vinegar, and boil them to [...]gether, which put to the Nuts boiling hot, with some Pep [...]per, Ginger, Cloves and Mace, as also some of the M [...]stard and Garlick, which keep close stopped for Use.

To pickle Mushrooms.

First blanch them over the Crowns, and barb them b [...]neath, then put them into a Pan of boiling Water, th [...] take them forth, and let them drain; when they are col [...] put them into your Pot or Glass, and put to them Clove [...] Mace, Ginger, Nutmegs and whole Pepper; then ta [...] White-wine, a little Vinegar and Salt: So pour the L [...]quor into the Mushrooms, and stop them close for Use.

To pickle any Sort of Flowers for Sallads, as Clove-Gil [...] Flowers, &c.

Put them into a Gally-pot, with as much Sugar as [...] weigh; fill them with Wine Vinegar: To a Pint of V [...]negar, a Pound of Sugar.

To pickle Samphire, Broom Buds, Ashen-Keys, Purslain, & [...]

Take Samphire, and pick the Branches from the [...] Leaves; then lay it in a Pot, and make a strong Brine [...] Water, or Bay Salt; in the Boiling scum it clean; bei [...] boiled▪ and cold, put it to the Samphire; cover it, [...] keep it for all the Year; and when there is Occasion [...] use it, take and boil it in fair Water, but the Water [...] boil before you put it in; when it is boiled, and beco [...] green, let it cool; then take it out, and put it into a [...] mouth'd Glass, and put strong Wine Vinegar to it, [...] keep it close for Use.

[Page 339]

To pickle Lemon and Orange Peel.

Boil them in Vinegar and Sugar, and put them into the same Pickle; Observe to cut them in small long Thongs, the Length of Half the Peel of your Lemon; it ought to be boil'd in Water before it is boiled in Vinegar and Su­gar.

To preserve green Apricots.

Take them when they are small and tender; peel them [...]nd put them in hot Water, but let them not boil; let them lie there till they begin to be green, then take them out, and put them in cold Water, then boil your Sugar, and let your Apricots run a little of the Water from them; then put them into the Sugar, and let them boil till the Syrup becomes thick; then put them into an Earthen Pan, and let them remain there a Week; then put them into a Pre­serving Pan, and make them boil again till the Syrup grows thick; then put them once more into an Earthen Pan, and let them stand till they are cold; then take them out of their Syrup, and lay them on your Ardoise; then dry them in your Stove, and turn them often till dry; then put them in Boxes on Paper.

To preserve Fruit Green.

Take Pippins, Apricots, Pears, Plumbs or Peaches, when they are green; scald them in hot Water, and peel them; then put them into another Water, not so hot as [...] first; then boil them very tender, and take the Weight of [...] in Sugar, and put to them as much Water as will make a Syrup to cover them; then boil them somewhat leisurely and take them up; then boil the Syrup till it be somewhat thick, and, when cold, put them together.

To preserve Rasberries.

Take good Rasberries that are not too ripe, but very whole; take away the Stalks, and put them into a flat bot­tomed Earthen Pan; boil Sugar, and pour it over your Rasberries, then let them stand to be cool, and when they are cold pour them softly into your Preserving Pan, and let them boil till their Syrup be boiled pretty thick; scum them very well in the boiling; this done, put them in Pots, and, when cold, cover them up close for Use.

To preserve Barberries.

Take one Pound of Barberries pick'd from the Stalks, put them into a Pottle Pot, and set it in a Brass Pot full of hot Water, and when they be stewed, strain them, and put [Page 340] to the Barberries one Pound ½ of Sugar, and to them put Pint of red Rose Water, and boil them a little; then tak [...] Half a Pound of the fairest Clusters of Barberries you ca [...] get, and dip them in the Syrup while it is boiling; the [...] take the Barberries out, and boil the Syrup till it is thick and, when cold, put them into Gally-pots or Glasses wit [...] the Syrup.

To preserve Currants.

Lay a Layer of Currants, and then a Layer of Sugar, and so boil as before prescribed for Rasberries; scum the [...] in boiling till the Syrup is pretty thick; then take the [...] off, and, when they are cold, put them in Gally-pots or Glasses closely stopped.

To preserve Walnuts Green.

Boil the Walnuts till the Water tastes bitter, then ta [...] them off, and put them in cold Water; peel off the Bark, and weigh as much Sugar as they weigh, and a little more Water than will wet the Sugar; set them on the Fire, and when they boil up, take them off, and let them stand two Days, and then boil them again once more.

To preserve Grapes.

Stamp and strain them; let them settle a while; before you wet a Pound of Sugar, or Grapes with the Juice, stone the Grapes, and save the Juice in the Stoning; take them off, and put them up.

To preserve Cherries.

First take some of the worst Cherries, and boil them in fair Water, and when the Liquor is well coloured, strain it; then take some of the best Cherries, with their Weight in beaten Sugar; then lay one Layer of Sugar, and another of Cherries, till all are laid in the Preserving Pan; then pour a little Liquor of the worst Cherries into it, and boil the Cherries till they are well colour'd; then take them up, and boil the Syrup till it will button on the Side of a Plate, and when they are cold, put them up in a Glass close co­vered for Use.

To candy Cherries.

Take Cherries before they be full ripe, and take out the Stones; then take clarified Sugar boiled to a Height, and pour it on them.

To candy Pears, Plumbs, Apricots, &c.

Take them and give every one a Cut Half through; then cast Sugar on them, and bake them in an Oven, as hot as [Page 341] [...] Manchet, close stopped; let them stand Half an Hour, [...] lay them one by one upon Glass Plates to dry, and [...] will appear very fine and clear: In this Manner you [...] candy any other Fruit.

To candy Flowers.

Pick them very clean, and to every Ounce of Flowers, [...] two Ounces of hard Sugar, and one Ounce of Sugar- [...]ndy, and dissolve them in Rose Water; then boil them, [...] they come to Sugar again, and when it is almost cold, [...]ut in your Flowers, and stir them together, &c.

Of making sundry Sorts of Wines.

Currant Wine.

PICK the Curants (when they are full ripe) clean from the Stalks, then put them into an Earthen Vessel, and [...]our on them fair and clean hot Water, that is, a Quart of Water to a Gallon of Currants; then bruise or mash them [...]ogether, and let them stand and ferment; then cover them [...]or twelve Hours, strain them through fine Linen into a large [...]arthen Crock (as they say in Sussex) and then put the Li­ [...]uor into a Cask, and thereto put a little Ale-Yest, and [...]hen worked and settled, bottle it off: This is exceeding [...]leasant, and very wholesome for cooling the Blood: In a Week's Time it will be fit for bottling.

Artificial Claret.

Take six Gallons of Water, two Gallons of the best Cy­der, and thereto put eight Pounds of the best Malaga Rai­ [...]ns bruised; let them stand close covered in a warm Place [...]or two Weeks, stirring them every two Days well together; [...]hen press out the Liquor into the Vessel again, and add to [...]t a Quart of the Juice of Barberries, and a Pint of the Juice of Bramble-berries, or Rasberries (which perhaps is [...]he best) to which put a Pint of the Juice of Black Cherries; work it up with Mustard-seed covered with Bread Paste for three or four Days by the Fire-side; after which let it stand a Week, then bottle it off, and it w [...]ll become near as good as, if not exceed, common Claret.

Goosberry Wine.

The best Way is to take to every three Pounds of Fruit, one Pound of Sugar, and a Quart of fair Water; boil the Water very well, but you must put the aforesaid Quantity of Sugar when it is boiled; bruise the Fruit, and steep it Twenty-four Hours in the Water, stir it sometimes, then [Page 342] strain it off, and put the Sugar to it, and let it stand in a Runlet close stopped for a Fortnight; then draw it off, and set it up in a cool Cellar, and in two Months it will be fit to drink.

Rasberry Wine.

Take the Rasberries clear from the Stalks; to a Gallon of which put a Bottle of White Wine, and let them infuse in an Earthen Vessel two or three Days close covered; then bruise the Berries in the Wine, and strain thro' fine Linen gently; then let it simmer over a moderate Fire, scum off the Froth, and then strain it again, and with a Quarter of a Pound of Loaf Sugar, to a Gallon, let it settle; then in Half a Pint of White Wine boil about an Ounce of well-scented Cinnamon, and a little Mace, and put the Wine strained from the Spice into it, and bottle it up.

Damson Wine.

Dry the Damsons in an Oven after you have drawn your Bread; then to every Quart of Damsons put three Quarts of fair Water, but first boil it very well; then put the Wa­ter and Damsons into a Runlet, with Sugar; and having stood a Time sufficient, bottle it off.

Wine of Grapes.

When they are fully ripe, in a dry Day, pick off those Grapes that are ripest, and squeeze them in a Fat or Press made for that Purpose, in which must be a fine Canvas Bag to contain the Grapes; and when in the Press, do not squeeze them so hard as to break the Stones, if you can help it, because the bruised Stones will give the Wine a disa­greeable Taste; then strain it well, and let it settle on the Lees, in such a Cask or Vessel as you may draw it off with­out raising the Bottom; then season a Cask well with some scalding Water, and dry it, or scent it with a Linen Rag dip­ped in Brimstone, by fixing it at the Bouge, by the Bung or Cork; then put the Wine into it, and stop it close for 48 Hours; then give it Vent at the Bouge, with a Hole made with a Gimblet; in which put a Peg or Faucet, that may easily be moved with the [...]ingers; then in about two Days Time close it up; and in about two or three Months Time it will be fit for drinking, and prove almost as good as French Wine.

Wine of Strawberries or Rasberries.

Mash the Berries, and put them into a Linen Bag, as a­bovesaid for the Grapes, and squeeze them into a Cask, and [Page 343] then let it work as aforesaid in the Grape Receipt, &c. In this Manner may Cherry Wine be made; but then you must break the Stones, contrary to what was said before concerning the Grapes.

A short Way for Cherry Wine.

Squeeze the Juice of Cherries into a Cask, and thereto put a small Quantity of Sugar corresponding to the Quan­tity of Juice; and, when stood a Month, it will be plea­sant Liquor.

Black Cherry Wine.

In the same Manner, take a Gallon, or more, of the Juice of Black Cherries, and keep it in a Vessel close stop­ped till it works; and, after it is fine, add an Ounce of Sugar to each Quart, and a Pint of White Wine.

To make Cyder.

Grind, stamp or pound your Apples, and put them into a Press, and Squeeze them through Hair Bags into a Tub; then let it settle, and, according to your Quantity of Juice, put in some Sugar at Discretion; then work it up with Ale-Yest, and let it stand a Week; then prepare your Ves­sels according to the Quantity, clean and dry; then put it up; after which put into a Bag two Pounds of stoned Rai­sins, two Ounces of whole Ginger, and two Ounces of Isingglass, and see it tied tight with a strong String fixed without-side the Barrel, that the Bag may sink to the Bot­tom; and after two Months it will be fit for Use.

Mead.

Take six Gallons of Water, and thereto put six Quarts of Honey, stirring it till the Honey be thoroughly mixed; then set it over the Fire, and, when ready to boil, scum it very well, then put to it one Quarter of an Ounce of Mace, and as much Ginger, and Half an Ounce of Nut­megs, some Sweet Marjoram, Thyme, Sweet Briar, toge­ther a Handful, then boil them in the Liquid, then let it stand by till cold, and then barrel it up for Use.

Of Jellies.

Let them be of Apples, Currants, Rasberries, &c. Take out the clear Liquor (when squeezed) and boil it with Su­gar till it is as thick as a Jelly, then put it up in Glasses.

[Page 344]

Every Man his own DOCTOR: Or the POOR PLANTER's PHYSICIAN.

THE most acceptable Service we can render to GOD is Beneficence to Man. There are three Ways of be­nefiting our Fellow Creatures. We may be useful to their Souls by good Instruction, and good Example: We may be helpful to their Bodies, by feeding the Hungry, cloath­ing the Naked, and prescribing easy Remedies to the Sick: We can aid them in their Fortunes, by encouraging of In­dustry, by relieving the Distressed, and doing all the kind Offices we are able to our Neighbours. These are the several Ways of improving the Talents our Maker has entrusted us with; and we must every one expect hereafter to give an Account how we have employed them.

I wish it were in my Power to serve Mankind, more than I do, in each of these Particulars; but the gracious Acceptance of the Widow's Offering, encourages me also to cast in my Mite into the Treasury. I publish this Treatise to lead the poorer Sort into the pleasant Paths of Health; and when they have the Misfortune to be sick, to shew them the cheapest and easiest Ways of getting well again.

Our Country is unhappily subject to several very sharp Distempers. The Multitude of Marshes, Swamps, and great Waters, send forth so many Fogs, and Exhalations, that the Air is continually damp with them: This, in Spight of all our Precautions, is apt to shut up the Pores at once, and hinder insensible Perspiration. From hence pro­ceed Fevers, Coughs, Quinsies, Pleurisies and Consumptions, with a dismal Train of other Diseases, which make as fa­tal Havock here, in Proportion to our Number, as the Plague does in the Eastern Parts of the World.

In the mean Time, this is a cruel Check to the Growth of an Infant Colony, which otherwise, by the Fruitfulness of our Women, and the great Number of Recruits sent from our Mother Country, would, in a few Years, grow populous, and consequently considerable.

It is impossible to see these Calamities return every Year, without the tenderest Commiseration. Certainly nothing [Page 345] can be more melancholy, than to have so many poor Peo­ple perish, purely for want of using timely Means for their Preservation. They neglect to take any Remedy till their Case is grown desperate, and Death begins to glare them in the Face. They consider not, that a moderate Skill may recover a Patient in the Beginning of a Distemper, while he has Strength to go thro' all the necessary Opera­tions, when the whole College would not be able to save him, after his Spirits are sunk, and all the Principles of Life near extinguished.

This unhappy Temper occasions a great deal of Mortali­ty: And what makes the Misfortune the greater, is, that it falls heaviest on the Younger Sort, who are most liable to hurrying Distempers. Indeed, some would be glad of As­sistance, if they did not think the Remedy near as bad as the Disease: For our Doctors are commonly so exorbitant in their Fees, whether they kill or cure, that the Patient had rather trust to his Constitution, than run the Risque of beg­garing his Family.

These Considerations made me account it a Work of great Charity and publick Spirit, to communicate to the poor Inhabitants of this Colony, a safe Method of curing themselves, when they shall be so unhappy as to fall into a­ny of our common Maladies. And for their greater En­couragement, the Remedies I shall prescribe, may be pro­cured with little Trouble and Expence, being, for the most Part, such as grow at their own Doors, or may be easily propagated.

But notwithstanding this well-meaning Essay has really no other View than the Love of Mankind, yet it could not escape being grossly attack'd by some Fysts of the Faculty. However like Aesop's Viper, while they endeavour to make a venomous Impression on the File, they only broke their own Teeth. In the mean Time, whatever my Obligati­ons may be to 'em for their Scurrility, the honest Pri [...]er has reason to thank them, because nothing contributes so certainly to the quick Sale of any Performance, as a stupid Answer to it.

Providence has been so good, as to furnish almost every Country with Medicines proper for the Distempers inci­dent to the Climate; and such domestick Remedies are al­ways sufficient for the Poor, who live upon homely Fare, and for the Temperate, who make a right Use of GOD's, [Page 346] Blessings. Their Cases are seldom complicated, and pro­ceed, for the most Part, from Cold, or some slight Trans­gression. In such Ailments, the Symptoms cannot easily be mistaken, nor is the Cure difficult; all the Secret lies in taking the Distemper in Time: And this will be the more ne­cessary, because most Diseases that happen from Cold, [...] exceedingly violent, and call aloud for speedy Assistance.

I must therefore conjure my dear Countryfolks to begin with themselves as soon as they can distinguish what Sick­ness they have, while Nature is strong and able to co [...]ope­rate with the Medicines they take. Nor can we hope, that Heaven will assist us in our Calamities, unless we endeavour, at the same time, to assist ourselves.

In setting down the following Prescriptions, I have been cautious of talking like an Apothecary; that is, of using hard Words, that perhaps neither my Patient, nor I myself understand. Nor have I taken them lightly upon Trust, but am able to recommend most of them upon more than Twenty Years Experience; and for the rest, I have credi­ble Authority. In the mean time, I hope none will ob­ject, like Naaman, the Syrian, to the Easiness of any of these Remedies; but rather rejoice, that they can have the greatest of all Blessings so very cheap. And in Truth, People must love Difficulty extremely, to slight Health, as they would a Mistress, for being gained with little Trouble.

That this Treatise may be as useful as possible, I have made some small Additions here and there in this Edition, but so as neither to swell the Book, or enhance the Price. And as the whole is design'd for those who can't afford to die by the Hand of a Doctor, I hope the Legitimate Sons of Esculapius will be the more merciful. But as for the spu­rious Breed, they have no Right to find Fault with what they can't mend, and it will be prudent to make a Secret of their own Ignorance.

Before I mention the Cure, I shall endeavour to describe the Symptoms of each Distemper, in so plain a Manner, that any Person may be Master of his own Case, if he will but attend carefully to what he feels; otherwise he might mi­stake his Illness, and apply an improper Remedy. I shall also recommend the Diet fittest to be used in each Case; which often contributes more to the Patient's Recovery, than his Physick: At the same time, he shall have my best [Page 347] Advice, to prevent every Particular Ailment; which will be happier for him, than to know how to cure it.

COUGH.

I SHALL begin with a Cough, which is the Founda­tion of many bad Distempers, and therefore should be [...]ken Care of as soon as possible. It may be cured in the [...]eginning with riding moderately on Horseback every Day, and only taking a little Ground Ivy Tea sweeten'd with Sy­rup of Horehound, at Night when you go to Bed. But in case it be violent, it will be proper to bleed eight Ounces, and be constant in the Use of the other Remedies. In the mean while, you must use a spare and cooling Diet, with­out either Flesh or strong Drink. Nor should you stove yourself up in a warm Room, but breathe as much as pos­sible in the open Air. And to prevent this Mischief, don't make yourself tender, but wash every Day in cold Water, and very often your Feet.

WHOOPING COUGH.

The Whooping Cough (often fatal to Children) is attend­ed with a stronger Convulsion than ordinary, which causes the Whooping.

For this, boil Hysop and Elicampane, a Handful of each, in 2 Quarts of Water, strain it off, and adding 1 Pound of clean Muscovado Sugar, boil it again, and give the Patient 2 Spoonfuls every 3 Hours.

This same Remedy is good for a Shortness of Breath, and a Hoarseness, only in these Cases, Linseed Tea sweeten'd with Honey, should be the constant Drink, and a spare and cooling Diet punctually observed.

PLEURISY.

A common Consequence of a violent Cough is a Pleurisy; which discovers itself by a brisk Fever, and sharp Pain, pretty low in one of the Sides, shooting now and then into the Breast, and sometimes quite back into the Shoulder Blades: It is uneasy every Time the Patient draws his Breath, and more so when he coughs; which is generally the Case in this Disease.

The Moment any Person finds these Tokens upon him, he must, without Loss of Time, take away 10 Ounces of Blood, and repeat the same 3 or 4 Days successively, if the Pain go not away before. On the third Day, he may vomit with 80 Grains of Indian Physick (Virginian Ipeca­cuanna) [Page 348] and every Night drink 7 Spoonfuls of Pennyroyal Water, or the Decoction of it, moderately sweeten'd. In the mean Time, let him every three Hours, take Half a Spoonful of Honey and Linseed Oyl mix'd together. He should also strew Indian Pepper upon Pennyroyal Plaist [...]r, and apply it very hot to the Place where the [...] and be sure to keep himself warm, and abstain from [...] Wa­ter: Tho' if the Distemper should prove obstinate, you must [...] a Blister to his Neck, a [...]d one to each Arm, on the fleshy Part above the Elbow.

The Patient's Diet should be light and cooling; and his constant Drink, either Linseed or Balm Tea, a little sweeten'd.

The best Way to prevent this Distemper, will be, to bleed in the Beginning of any great Hoarseness, or Cough, and also to forbear swilling great Quantities of Water, or Small Beer, in ordinary Life.

FEVER, Pain in the Head, Eye, or Ear.

Something a-kin to this, is a Fever, accompanied with a violent Pain in the Head, Neck, or Shoulder, or with an Inflammation in the Eye or Ear. In all these Cases, you must, without Loss of Time, bleed 10 Ounces. The next Day purge with the Decoction of [...], and three Spoonfuls of Syrup of Peach Blossoms. If the [...] continue, you must bleed again the third Day, [...] Morrow following repeat the Purge: And if the Pain be still obstinate, you must renew both Bleeding and Purging a third Time. In the very Beginning, apply the following [...]oul [...]is to the Part where the Pain lies: Boil the Leaves [...] Sage, Wormwood and Rue together, and having beat them soft, grate Nu [...]meg thick upon them, and bind them or warm, renewing the same Night and Morning: And [...] case the Disease hold out against all this, your last [...] must be a Blister, near the Place where the Pain [...].

Your Diet should be moist and cooling, such as thin Ho­miny, Chicken-Broth, or [...]ater Gruel; and your Drink Linseed [...] Ground-Ivy T [...]a, moderately sweeten'd.

Thi [...] Disease will be also best prevented by Bleeding in a [...]ny violent Cold.

But when there happens a violent Pain in the Breast, wit [...] cold Flesh▪ and a low, quick and uneven Pulse, and an ex [...]c [...]ssive We [...]kness from the very Begin [...]ing of the Distem [...]per, you must forbear Bleeding by all Means, till you hav [...] [Page 349] warm'd the Flesh, and rais'd the Fever. In order to which, give him a Decoction of Snakeroot and Pennyroyal, and en­deavour to raise a Sweat between 2 Blankets, if possible. And because the Case is very dangerous, apply a Blister to the Breast where the Pain is, in the very Beginning.

Let his Diet be thin Hominy enrich'd with grated Nut­meg, and taken often to recruit the Spirits.

QUINSEY.

Another Distemper consequent to a Cold is a Quinsey, known by a Fever, with an Inflammation of the Glands a­bout the Throat, and of the Uvula, to that Degree as to render all Swallowing difficult, and painful. For this, bleed immediately 10 Ounces, rather in the Jugular Vein, than in the Arm; and for Safety apply a Blister to the Neck. If the Inflammation should continue, bleed again next Day. The Morning after take a Purge of the Decoction of Mal­lows, with Syrup of Peach Blossoms, repeating the same three several Times, resting one Day between. From the Beginning, gargle with Dr. Papa's Liquor hereafter describ­ed; and if the Uvula be much relax'd, drink Half a Pint of the same, Night and Morning, when you don't purge.

SORE-THROAT.

But in case it prove no more than a common Sore Throat, purge only once, and gargle with Papa's Liquor, or Sage Tea, sharpened with a little Allom.

In both Cases, your Diet ought to be moist and cooling; and your Drink Cinquefoil Tea.

In order to prevent these Complaints, remember to wash your [...]eck, and behind your Ears, every Morning, in cold Water; nor muffle up yourself too warm, either Night or Day.

CONSUMPTION.

Next follows a Consumption, a Distemper slow and sure, th [...]t i [...] lately grown very common amongst us. Here young P [...]ple are more in Danger than their Elders, because more [...] to Inflammations. It is usher'd in by a Cough of long C [...]tinuance, which, by Degrees, inflames and ulcerates the [...], brings on a Hectick [...]ever, with a Spitting of bloody an [...] corrupted Matter, and is generally attended with [...], and Night sweats. In the mean Time, the Patient will waste in Strength and in Flesh, while per­haps he may eat rather more than he used to do when he was well▪

[Page 350]After the Ulcer comes to be formed in the Lungs, it will be difficult for inward Remedies to reach it. They may before that, perhaps, cool the Inflammation, as well as sweeten and diminish the sharp Defluxion, so as to prevent an Ulcer, but can rarely heal it. So likewise, Blisters and Issues may revulse the Humour, and prevent the Mischief, if seasonably made use of.

Therefore all the Good we can hope for, in this melan­choly Case, must be done while the Consumption is appre­hended only, and not actually begun. I would then re­commend Bleeding 2 or 3 Ounces every third Day, with a constant Riding about on Horseback, and Change of Air. This will help Nature to throw off the Evil that threatens her, by calming the Blood, opening the Pores, and pro­moting insensible Perspiration. It may also enable her to make a vigorous Effort, by Means of a seasonable Boil, or Imposthume, on the outward Parts of the Body. For that Intention, I would also advise the Patient to shave under the Arms, and apply strong Poultises, in order to draw the Mischief, if possible, that Way. And for inward Medi­cines, let him only chew Sassafras Root every Morning fast­ing. I would likewise intreat him, before he goes to Bed, to take 3 Pills, made of Turpentine and Deers Dung, in equal Quantities: And, besides these, let him once a Week take a Purge of Mallows, and Syrup of Peach Blos­soms.

Let his Diet be without Meat, and mix'd with Abundance of Turnips, roasted Apples, Raisins, and Liquorice; and let his Drink be Beer brew'd with Ground-Ivy; avoiding strong Liquors of every Sort, as he would Poison.

The Way to prevent this wasting Disease, is never to suf­fer a Cough to dwell upon you; but bleed in Time, and purge gently once a Week. In the mean while eat not one Morsel of Meat, nor drink any Thing stronger than a little sound Cyder: And, to make the Game sure, ride eve­ry fair Day, and breathe as much as possible in the open Air.

BLOODY-FLUX.

Another mischievous Distemper is the Bloody-Flux; the Signs of which are, a small Fever, and grievous Griping. The Patient will also void slimy Excrements streak'd with Blood; and, at the same Time, be cruelly tormented in his Bowels.

[Page 351]Upon the first Appearance of these Symptoms, part with 8 Ounces of Blood. The next Day take 80 Grains of In­dian Physick, by Way of Vomit, and work it well with 2 Quarts of warm Water. The third Day, take 70 Grains of the same Indian Physick, in hot Broth, made pretty salt; and then 'twill go off by Way of Stool, and strengthen the Bowels.

In the mean time let the Food he takes be either poach'd Eggs, Mutton or Chicken-Broth, and his constant Drink, a Decoction of calcin'd Deers Horn, with a Plantain Leaf boil'd in it.

To prevent this Disease, avoid sleeping on the cold Ground, and wading in cold Water: Never eat immode­rately of any Sort of Fruit, nor venture to drink new or foul Cyder by any Means.

And because some People, by fancying this Distemper catching, are fearful of going near those unhappy Persons that have it, by which they often want the Assistance that is necessary; I may venture to assure them, their Apprehen­sions are groundless; and the Reason this Disease goes some­times round a Family, is, because they live on the same Diet, and breathe in the same Air; and then no wonder if they fall into the same Disorders, one after another, with­out any Manner of Infection.

WHITE-FLUX.

There is also a Kind of White-Flux, that will hurry a strong Man out of his Life in a short Time. In this Case the Stools are frequent, without Gripes or Blood, but flowing from the Patient like Water, and having a small Fever attending it.

Lose no Time in this hasty Disease, but vomit with In­dian Physick, and purge the next Day with the same. In the mean while, you will do well to wear some Skin girt tight on your Stomach and Belly, with the Fur next you, or else a Piece of soft Flannel.

Let your Food be Hasty-pudding, [...]anada, or Broth thickened with Flour, grating Nutmeg into every Thing you eat; and let your Drink be a Decoction of Deers Horn, made with a Leaf of Plantain.

In order to prevent this Disorder, avoid walking and riding in the Night Air, guzzling huge Draughts of cold Water, and devouring unreasonable Quantities of Fruit, especially of that which is not ripe.

[Page 352]

LOOSENESS.

A Common Looseness needs no Description; and may be easily stopped in the Beginning; tho' some People hus­band it so well, as to keep it running for many Years: So that all the Humours of the Body taking that Turn, make it difficult to cure.

Therefore, to check this Ailment in Time, you must vomit with Indian Physick; then live three or four Days upon new Milk boil'd thick with Flour, or Tuckahoe, and drink the above-mentioned Deers Horn Decoction.

Or mix an equal Quantity of Decoction of Mint Roots and Brandy, with the Yolks of two Eggs. This drink warm three Nights together at going to Bed.

Then, to prevent it, eat not intemperately; nor drink windy or foul Liquors, or too much cold Water.

There is an easy Remedy for all Sorts of Fluxes, used by some Doctors of Negro Ships, with great Success. They boil one Ounce of Bees-Wax in Rice, or Hasty Pudding, suf­ficient for one Meal. They continue this a few Days, and suffer the Patient to drink very little Water, enlivened with about a fourth Part of Rum. This Method seldom fails, even in Bloody-Fluxes, as well as Others, and is the more valuable for being neither dear nor disagreeable.

GRIPING.

But in case of an ordinary Griping in the Belly, or Wind in the Stomach, drink a Gallon of warm Whey, and if that cannot be had, a Gallon of warm Water, as fast as you can swallow it; and afterwards purge with Mallows, and Syrup of Peach Blossoms, once or twice.

For a few Days content yourself with a moderate and ea­sy Diet; and let your Drink be Balm Tea.

It may be prevented by keeping your Back-door con­stantly open, abstaining from windy Meats, and fermented Drinks, and being always careful not to overload your Sto­mach.

CHOLICK.

The Cholick is lately grown a very common Distemper, and begins generally with a grievous Pain in the Bowels; and, by being neglected, fixes at length in the Pit of the Stomach, where it seems to bore like an Augre: The Pa­tient frequently vomits every Thing he swallows, and can hardly go to Stool, even with the Help of purging Medi­cines.

[Page 353]People thus afflicted are apt to fly to Drams for Relief; but with lamentable Success. These may ease a Fit some­times; but are sure to add Fuel to the Fire, and make the Disease return with more Violence. Besides, these Cor­dials have another bad Consequence; they are apt to make People soberly enough inclin'd, by Degrees, grow too fond of their Physick. To cure all which bad Effects at once, I would recommend this certain and easy Remedy: Let him leave off all strong, windy and fermented Liquors, and drink nothing but Water, enriched with a brown Toast.

But if this Remedy should be esteemed worse than the Disease, I would, however, for the easing a particular Fit, recommend two or three Quarts of warm Water. And to force a Passage, you must take three or four Spoonfuls of Bears Oil, which will seldom fail; or else drink a Quarter of a Pint of the Decoction of Peach Leaves, with two Spoonfuls of Syrup of Peach Blossoms; and this Purge you ought to repeat two or three Times to carry off all Remains. But if you would root out the Distemper for ever, take the same Medicines every full Moon; and drink every Morning, for some Time, Sassafras Tea; and, at Night, take as much Snakeroot Powder as will lie upon a Six pence, in Mint-water, or Decoction.

The Food proper in this Distemper, is Chicken or Mutton Broth; and the Drink Balm Tea, sweeten'd with Syrup of Mallows.

And to prevent it, eat sparingly, forbearing every Thing that is salt and windy; and never drink Spirits, one Drop of Green Tea, or brew'd Liquor of any Kind.

DRY-GRIPES.

The Dry-Gripes are now (blessed be God) grown much rarer than formerly. This is the cruellest Kind of Cholick, called in Europe, the Cholick of Poitiers; though here it might be called the Caribbee Cholick, because very com­mon in those Islands; and I wish we may not have deriv'd it from thence, by too liberal an Use of their Commodities.

It makes itself known by a most tormenting Pain in the Pit of the Stomach, and the adjacent Parts. The Guts feel as if they were twisted, and all Motion downward is in­terrupted; by this Misfortune, the unhappy Patient is in­clined to vomit up every Thing; insomuch, that some­times his very Excrements are cast out at his Mouth. In the first Place, a Thoroughfare must by all Means be at­tempted, [Page 354] by 3 Spoonfuls of Bears Oil, or by the Decoction of Peach Leaves, above mentioned. If these Remedies should fail, you must submit to a Tobacco Glister, perform­ed by blowing the Smoak through a Pipe into the Funda­ment. And if the first Operation should happen to fail, it must be repeated, till a Passage be opened. At the same time, make a strong Infusion of Tobacco, and therewith a­noint the lower Region of the Belly.

After the Passage is perfectly clear'd, your Diet, for some Days, ought to be either Mutton or Chicken Broth, in which Mallows have been boil'd; and your Drink Balm Tea.

Some have unadvisedly, in this Distemper, ventur'd also to drink Rum, and other Spirits, to ease their Pains; but this has cost them dear, by taking away the Use of their Hands, and other Paralytick Misfortunes; to cure which, the same Remedies must be used, as are prescribed hereafter for the Palsey.

The best Way to prevent the Dry Gripes, is to get rid of Agues and Cholicks as soon as you can; to eat sparingly of Fruit, and forbear all foul and windy Liquors; nor meddle with Rum, or other Spirit, after it has been poisoned with foul Sugar and Lime-juice.

HEART-BURN.

The Heart-burn is an uneasy Heat at the Mouth of the Stomach, accompanied with sour Belchings, and some­times a Hiccup.

This is remov'd by chewing Sassafras Bark, or by a Decoction of it.

It is prevented by forbearing Spirits and foul Liquors, and also the Use of high season'd and sour Things, which kin­dle too sharp an Acid in the Stomach.

PALSEY.

A Palsey comes suddenly upon us, with dreadful Symp­toms, not easy to be mistaken. We are bereft of Sense and Motion, either in one, or more Parts of the Body; or a [...] least we find them numb'd and disabled; and where the Dis­ease is extreme, one Side is taken quite motionless, and in­sensible.

At the first Appearance of these melancholly Tokens purge with Indian Physick every other Day, for 3 Times The Mornings you don't purge, cause yourself to be plung' [...] over Head and Ears into cold Water; and this should b [...] [Page 355] repeated thrice every Week, for 3 Months together. You [...] to mix equ [...]l Quantities of Spirit of Scurvy-grass, and Hungary Water, and dipping a stiff Comb-brush therein, cause your Head, being close shas'd, to be well brush'd with it several Times a Day; likewise let the Palms of your Hands, the Soles of your Feet, and Nape of your Neck, be often rubb'd with the same Mixture. After this has put some Sense and Motion into your Limbs, beat Rosemary in a Mortar, and make a little Ball of it, which you must roll and work about in your Hands continually, renewing the same every Day; now and then too, put Tobacco up your Nostrils, l [...]tting it lie there for some Time, in order to drive the clammy Phlegm from your Brain. These easy Remedies will, by the Grace of GOD, do great Good in the Beginning of this Disease, by restoring the Nerves to their natural Tone, and giving new Vigour to the Animal Spirits, which have been clogg'd and obstructed.

The Patient's Food should be dry, and of easy Digestion, with Mustard and Horse-radish mix'd with it; and let Sage or Balm Tea be his constant Drink.

To prevent this Distemper, feed seldom on salt or high season'd Dishes, nor eat much Milk, or other phlegmatick Food; never sleep in the dangerous Dew, or on the moist Ground, or continue long in a Cellar; or other damp Si­tuation. Use much Exercise, and let your Motion be al­ways nimble, in order to quicken the Circulation, and frisk your sluggish Spirits.

EPILEPSY.

Another Disease of the Head, is an Epilepsy, or Falling Sickness, not unusual in this Country. It discovers itself by very terrible Symptoms; the unhappy Person falls down suddenly, depriv'd of all Sense and Understanding. No sooner is he fallen, but he's immediately shaken with strong Convulsions, grinds his Teeth, rolls his Eye-balls, and foams at the Mouth in a most frightful Manner. So soon as the Fit is over, his Senses return, but commonly a Pain in the Head, [...]nd great Depression of the Spirits remain up­on him for some Time after. The Return of these melan­cholly Fits is uncertain, tho', for the most Part, they come near the Full or Change of the Moon.

In the first Place, Care should be taken to calm the Spi­rits of the Patient, and keep them from running Riot in this unhappy Manner. For that Intention, bleed him, and [Page 356] then burn Feathers often under his Nose, or else Leather, or the Hoofs of any Animal.

Four Days before the Full Moon, let him take a Vomit of Indian Physick; and four Days after the Full Moon, let him take a Purge of the same; and be sure to do the like again before and after the Change: And this must be repeated for seven Months together. On the Mornings when he takes no Physick, he must swallow as much Powder of Misleto, as will lie upon a Shilling, in a Spoonful of the Decoction of Pennyroyal.

For this Purpose, the Leaves and tender Twigs of Misleto must be gather'd in January (being then in their Prime) dry'd over an Oven moderately warm, and kept all the Year for the Use above mentioned.

Let the Patient's Head be shaved, and a Plaister made of the Juice of Rue, Sage, and Pennyroyal, worn on the back Part of it.

Let him often put Tobacco up one of his Nostrils, keep­ing it there as long as it has any Strength, to clear the Head of cold and clammy Phlegm. And let him now and then, besides, chew a Stick of Misleto, and swallow the Juice.

These Directions must be pursu'd seven Months, or more, to cure any Person intirely of this Distemper; and, if it be taken in Time, there will be great Probability of Success, at least in young People.

Let his Victuals be sparing, and easy of Digestion; and his constant Drink, either Sage or Balm Tea.

As People commonly fall first into this Misfortune while they are Children, so, in order to prevent it, Care should be taken never to fright, or strike them violently on the Head, Back-bone, or Nape of the Neck.

LETHARGY.

A Lethargy, commonly called the Sleepy Disease, is an excessive Drowsiness, attended with a Fever, in which the Patient is light-headed when awake. But he is apt to fall into a deep Sleep, from which it is no easy Matter to a­wake him.

In this Case mix Rennet with very strong Vinegar, and force it down the Patient's Throat. This must be repeated 3 or 4 Times, and it will generally recover him from his State of Forgetfulness, and by Degrees get the better of the [Page 357] Distemper, especially if you add a perpetual Blister between the Shoulders. A very spare Diet, and living on dry Food as much as possible, will prevent the Return of this Disease.

FEVER, with violent Purging and Vomiting.

[...] Fever, with violent Purging and Vomiting, can't easily be mistaken. The Stools, tho' frequent, are with great Pain and Difficulty; both the Stomach and Bowels feel ex­ceeding uneasy, and the whole Frame is in universal Disorder.

As this Disease will hurry a Man soon to his long Home, without speedy Help, you must forthwith make 2 Gallons of thin Broth, either of Half a Fowl, or a small Chicken, and drink it all in the Space of 2 or 3 Hours; some of this will come up, and some go down, and cleanse your Sto­mach and Bowels in such a Manner, as to make you well before you expect it.

Only be careful to live some Days upon light and innocent Fare, boiling Mint in every Thing you eat, and grating Nutmeg into all your Drink.

Would you prevent this boisterous Illness, forbear all Kind of Surfeiting and Excess, never exposing yourself to be wet to the Skin, if possible.

I must not omit a Fever and Ague, which is an Epidemick Distemper in this moist and variable Climate. 'Tis true, it seldom kills now a Days; but if neglected too long, cor­rupts all the Juices of the Body, and ends either in a Jaun­dice, Dropsy, Dry-gripes, or Cachexy. Therefore I con­jure all my good Patients, as they tender their Health and good Looks, to dispossess this Devil as soon as they can.

AGUE.

An Ague returns either every Day, every third, or every fourth Day; and the Way to know which of these any Person hath, is only to abide two Fits. If it come eve [...] Day, it will be often accompanied with a Pain in the Head; in which Case, after the second Fit, you must bleed 8 Ounces. The next Day purge with Indian Physick, and two Days after that, repeat the same again. This must be followed, by taking every Morning and Evening 20 Grains of the Powder of Sassafras Root, mix'd with 10 Grains of Snake Root, in two Spoonfuls of the Decoction of Worm­wood.

If the Fit return every third Day, omit Bleeding, in case there be no Pain. After the second Fit, vomit one Day with Indian Physick, and purge with the same the [Page 358] next. If these should not master the Distemper, you must compleat the Cure with the Powders of Sassafras and Snake-root, taken in the Manner aforesaid.

But in case the Return should be every fourth Day, you must after the Vomit and Purge, take a Cold Water Sweat; That is, so soon as the cold Fit is off, and the Fever begins to come on, go into naked Bed, and drink a Pint of cold Water; then cover yourself up, and, in a little Time, the Disease will be driven all out at your Pores. However, take the Powders after this Operation for some Time, that you may make sure Work of it.

Your Diet should be moist and temperate, and drink Cinquefoil Tea.

It would be difficult to prescribe Rules to prevent a Di­stemper, to which our Situation is so unhappily subject; however, Prudence may be useful even in this Case. Ride therefore a great deal in the hot Months, to sweat out all indigested Humours; and don't chill your Bowels too much with cold Water. Avoid, as much as may be, being abroad in the Rain, or in the Dews of the Night. Be cautious too of sleeping on the Ground, or with your Win­dows or Doors open, to let the Wind blow upon you.

CONTINUAL FEVERS.

In case of a Continual Fever, bleed immediately ten Ounces. The Day following, vomit with Indian Physick; and the Morning after, purge with the same. And if you should be light-headed, be convuls'd, or incline too much to Sleep, lay a large Blister to the Neck, and to the fleshy Parts of each Arm; and take a Glister every Night of Mallows and Syrup of Peach Blossoms, to abate the Heat of the Distemper.

It matters not how little People eat in one of these Fe­vers, because the Spirits requisite for Digestion, are em­ploy'd in struggling with the Disease; But what little Su­stenance they do take, should be moist and cooling; and their Drink a Decoction of Cinquefoil, taken plentifully.

To prevent this furious Malady, avoid all Excesses of strong Drink, especially of Spirits, which inflame the Blood, at the same time that they vitiate the Ferment of the Stomach; upon which all Digestion, and consequently all Health, depends.

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SLOW FEVER.

But there is a Slow Fever, more difficult to manage than all the rest, which is the true Scorbutick Fever. The Signs of it are a low, but quick Pulse, a constant Thirst, a Fal­ling away of the Flesh, and a sallow Complexion. There will be sometimes too, a hard Swelling on one Side of the Belly, that seems to move about.

As this lurking Disorder comes by a long Course of ill Management, so it will need some Time to root it out. For that End, take a Vomit of Indian Physick, and the next Morning a Purge of the same; which Purge ought to be repeated once a Week for six Times at least. The Morn­ings you don't take Physick, drink constantly a Quarter of a Pint of Sassafras Tea fasting; and every Night, as much Powder of Snake-root as will lie upon a Shilling, in three Spoonfuls of Decoction of Dittany. And if you should be costive, take a Glister every other Day of Decoction of Mal­lows, with Syrup of Peach Blossoms. This Method faith­fully pursued for two Months, with moderate Riding, and a proper Diet, will go near to finish the Cure.

In the mean time eat no Milk, nor any Thing salt or hard of Digestion; but let your Sauce be Mustard, Garden Cresses, and Horse-radish in Abundance; and your best Drink will be sound Cyder, with an hot Iron quench'd in it, or Beer brew'd with Sorrel Tree Leaves.

Then, to prevent this Illness, you must indulge no sloth­ful Inclination, but stir about your Business briskly, and ride as often as you can; never drink more than a Pint of Wa­ter, or other Drink, in 24 Hours. Breathe as much as pos­sible in the open Air in the Day Time, and avoid it in the Night.

WORM FEVER.

There is besides, another Kind of Fever hard to be di­stinguished, especially among Children, and that is a Worm Fever. There will be a quick Pulse, and often a Pain in the Side, in the Stomach, or Bowels, and all occasioned by Worms Now and then too, there will be the Symptoms of the Flux, and even Convulsions; so that like the Devil it appears in all Manner of Shapes. The only Way I know of discerning it, is by a swell'd Body, a tainted Breath, or a greedy Appetite, beyond what is usual in other feverish Disorders.

[Page 360]Give a Vomit of Indian Physick one Day, and a Purge of the same the next. Beat the Seed of Jerusalem Oak, and take a Spoonful of it, mix'd with the Juice of Ru [...] or Wormwood, for three Mornings. From the Beginning, soak a cur'd Leaf of Tobacco in Vinegar, and apply it wa [...] to the Stomach or Belly; and it will make the Worms much sicker than it doth the Patient.

Let his Food be season'd with a great deal of Salt; and his Drink, Beer brewed pretty bitter, with Wormwood in­stead of Hops.

It is difficult to hinder Worms from hatching and har­bouring in our Bodies, because we swallow their eggs al­most with every Thing we eat; especially such as live much upon Pulse and Indian Corn will be full of them. So that I may venture to say, three Fourths of the Children that die in these Parts of the World, die of Worms.

The best Way to prevent them, is to make Use of a great deal of Pepper and Salt with your daily Food, and as little Vinegar as possible, which is full of small Insects, to be seen by Millions with a Glass.

CACHEXY.

I took Notice that a Cachexy was one of the Consequen­ces of letting a Fever and Ague continue too long; tho' the same is produced likewise by an unwholsome Diet, by a slothful Habit, and drinking Abundance of cold Water. The Signs of it are a slow Fever of the Hectick Kind, a continual Thirst, a Shortness of Breath, and a very cadave­rous Complexion.

For the Cure of this lazy Distemper, you must proceed in the same Method as is directed in the Case of slow Fevers; only I would advise the Patient, over and above, to take every Day, at Ten in the Morning, and Four in the After­noon, a Dram of Rum, wherein the Flowers and Tops of Centory have been infuss'd▪ and during the whole Course of the Cure, the Patient must, by all Means, shake off his lazy Disposition, rise early in a Morning, and stir about as briskly as his strength and Breath will permit.

His Food should be fresh, and easy of Digestion; and his Drink Beer brew'd with Wormwood, and the Leaves of the Sorrel Tree.

To prevent falling into it, never suffer Agues or slow Fe­vers to taint your Blood; be nimble in your Motion, [...]nd drench not yourself with cold Water between Meals.

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YELLOW JAUNDICE.

Another bad Effect of keeping an Ague too long, is the Yellow Jaundice. This discovers itself by the yellow Hue of the Face and other Parts of the Body; nay the Whites of the Eyes and Urine will be also ting'd with it.

For this Illness take a Purge of Indian Physick, and re­ [...]eat it the third Day again. After that drink every Morn­ing and Evening, for six Weeks, a Quarter of a Pint of Decoction of the inner Ba [...]k of Elder, and the Root of Sas­safras, in equal Quantities. In the mean time, force your­self to stir about, and ride on Horseback every fair Day.

Let all your Victuals be light and temperate; and your Drink Beer brew'd with Sorrel Leaves, Pine Tops, Root of Ash, and a little old Iron.

To ward off this ungracious Disease, cure your Agues in the Beginning, lingering Fevers as soon as possible, and use Agility in your Motion.

DROPSY.

But the most fatal Consequence of keeping an Ague or Jaundice too long, is a Dropsy. This dire Calamity befals antient People sometimes, by Means of natural Decay; and sometimes those that are young, when they have made too bold with their Constitution. 'Tis also apt to follow too great a Loss of Blood, or too long a Familiarity with Opi­ates.

A Dropsy first shews itself by the Swelling of the Legs a­bout the Ancles, in such a Manner as to retain the Impres­sion of your Finger. This Swelling appears most at Night, and is usually attended with a Shortness and Difficulty of Breath, ever most troublesome when the Patient lies down.

He must therefore resolve upon proper Remedies, before the Waters rise high enough to drown him; and if he have but the Gift of Self-denial, he may, by GOD'S Help, get the better of this mortal Enemy; provided there be no universal Decay, no Depravation of the Liver, or other Organs, necessary for Blood-mak [...]ng.

Now I can't recommend the Remedies for this Disease better, than by giving three remarkable Instances of Per­sons of an advanced Age, who have been perfectly cur'd by them.

The first was Sir Thomas Millington, an eminent Physi­cian, who fell into a Dropsy, at near 70 Years of Age. After draining the Water, by two or three smart Purges, he per­formed [Page 362] the rest of the Cure by a resolute S [...]f-denial. He eat nothing but what was light and nourishing; and for his Drink, confined himself rigorously to a Quarter of a Pint of Rhenish Wine in 24 Hours (and hard Cyder would have done the Business as well.) The first Week his Thirst was hardly to be endured; but after that grew more tolerable. He continued this Course for two Months, and recovered com­pleatly.

The Second was the late Earl of Orford, who had this Distemper in [...]his grand Climacteric. He purg'd two or three Times, drank sparingly of Canary and Water, thick­ened with the Yolk of a new-laid Egg; and all his Victuals besides were cook'd with Abundance of Garlick and Horse-radish. This Method was pursued with great Constancy for three Months, and blest with intire Success.

The last Instance is an ancient Gentleman who trusted to the Remedies of our own Country, with the like happy Effect. He drank the Decoction of Sassafras as soon as he get up, and chew'd the Root of it all the rest of the Morn­ing till Dinner; then observed a light and nourishing Diet; and drank moderately of clear sound Cyder, wherein an hot Iron had been plentifully quench'd, and a little Allom dis­solv'd.

Of these several Remedies you may please to take your Choice; or, instead of Sassafras, you may hold the Seeds of Pelitary of Spain in your Mouth, which will salivate still more powerfully.

The rest of the [...]ure must be compleated with restorative Meats, and a very short Allowance of Drink. For your Diet ▪ I would recommend Poach'd Eggs, thin Hominy, Hogs Feet, Cow Heel, and Jelly Broth; all which will renew and enrich the Blood, without provoking too much Thirst; and for Drink use none but Sorrel Beer, or sound Cyder, wherein an hot Iro [...] has been quench'd several [...]

To guard yourself against this wretched [...] be cautious of scorching your Liver with Spirits, or [...] of other strong Drink. In case you be troubled with Breeding, stop it as soon as you can. By no Means accustom yourself to Opiates, or suffer an Ague, the Jaundice, or lingering Fevers, to dwell long upon you.

Because I mentioned Loss of Blood to be one Cause of the Dropsy, I will hint at some Means to stanch those Bleedings that threaten the most Danger.

[Page]

BLEEDING PILES.

In Men the excessive Flux of the Bleeding Piles some­times ends in a Dropsy, if not stopp'd in Time, in that Case purge with Indian Physick two or three Times; and the Mornings you don't take that, drink the Exprest Liquor of fresh Ass Dung, sweetened with Syrup of Quinces, to be repeated three Times. In the mean while, take an Ounce of Conserve of Roses, twice or thrice a Day; and after eve­ry Stool, wash your Fundament clean with Decoction of Comfry Leaves, made very warm.

Live all the Time upon a cooling Diet, without Meat; and only drink Burnet or Yarrow Tea, sweeten'd with Syrup of Quinces.

Those that are liable to this, or the like Infirmities, should avoid heating themselves with strong Drink, or too boisterous Motion; nor must they fall into violent Passions, either of Love or Anger.

FLOODING.

In Women a Dropsy is often caus'd by Flooding, or the immoderate Flowing of their Courses. Let them for this, in the first Place, take away eight Ounces of Blood, and then proceed as in the foregoing Case; only they must inject the Decoction of Comfry Leaves, and govern their Passions if they can; nor must any Part of them, not so much as their Tongue, be allowed to have too much Motion.

This Infirmity comes upon the Sex about 50 Years of Age; and after Bleeding and Vomiting, nothing cures it better than the Use of the Cold Bath.

BLEEDING at the NOSE.

The Bleeding at the Nose must be treated just in the same Manner, except the Decoction of Comfry Leaves should be often snuffed up the Nose▪ and a Tent soak'd in the same frequently thrust into the Nostrils; and if a little Allom were dissolv'd in the Decoction, it would be so much the better.

SPITTING or PISSING of BLOOD.

Then for Spitting or Pissing of Blood, bleed eight Ounces. The next Morning purge with Indian Physick; and drink no­thing but Tea made of Comfry Leaves or Root, and sweeten'd with Syrup of Quinces. But whenever a Fever produces Loss of Blood, the Heat of that must be taken off by cool­ing Medicines, before the Bleeding will cease,

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WHITES.

In the Whites too I would recommend Bleeding in the Beginning, and Purging two or three Times with Indian Physick. When she don't purge, let her Night and Morn­ing drink Half a Pint of Papa's Liquor, with an Ounce of Conserve of Roses dissolv'd in it; and often inject the same. For the rest, she must use the same Diet, the same Drink, the same moderate Motion, and Freedom from Passion, as are mentioned before.

GLEET.

A Gleet, or Running of the Reins, in Men, must be treat­ed in all Respects as the foregoing Weakness in the other Sex; provided always it be not Venereal.

DIABETES.

A Diabetes discovers itself plainly, by making Water a­bundantly, which has commonly a greasy Skim upon it. 'Tis also attended with a low sneaking Fever, and much stronger Inclination to drink than eat. At the same Time the Patient finds himself weak and low spirited, with a Listlessness to all Manner of Motion.

For this bad Distemper there is this easy and cheap Re­medy, which rarely fails. Dissolve as much Allom in a Pint of Posset Drink as will fit on the Patient's Stomach without vomiting. Of this let him sip now and then two or three Spoonfuls, till all the Symptoms go off.

In the mean time, let his Food be easy of Digestion, and his Drink Balm Tea, moderately taken, or Bristol Wa­ter, if it can be got.

And the Way to avoid this Disease is, by a temperate Use of such Meat and Drink as breed good Blood.

VAPOURS.

There is no Disease puzzles Physicians more than the Va­pours, and Hysterick Fits. These Complaints are produced by so many Causes, and appear in so many various Shapes, that 'tis no easy Matter to describe them. However, some of the Symptoms are a Thumping at the Heart, a Croaking of the Guts, and a Fulness of the Stomach, which the Pa­tient endeavours to ease, as much as she can, by Belching; every now and then too, something seems to rise up to her Throat, that almost stops her Breath; she has moreover, a great Heaviness and Dejection of Spirit, and a Cloud seems to hang upon all her Senses. In one Word, she has no Re­lish for any Thing, but is continually out of Humour, [Page 365] [...] knows not why, and out of Order, she knows not where.

This is certainly a miserable Condition, and the more so, because the Weakness of the Nerves makes the Cure ex­ceeding difficult.

Because the Stomach is suspected to be much in Fault, I would have that cleansed in the first Place, with a Vomit of Indian Physick; the next Day purify the Bowels by a Purge of the same; which must be repeated two Days after. The rest of the Cure must be performed by the exact Observa­tion of the following Rules. Endeavour to preserve a cheer­ful Spirit, putting the best Construction on every Body's Words and Behaviour; plunge three Mornings every Week into cold Water over Head and Ears; which will brace the Nerves, and rouze the sluggish Spirits surprisingly. Observe a strict Regularity and Temperance in your Diet; and ride every fair Day small Journeys on Horse-back. Stir nimbly about your Affairs, quick Motion being as necessary for Health of Body, as for Dispatch of Business. In the mean while, I absolutely forbid all Sorts of Drams, which will raise the Spirits only to sink them lower; nor do I allow her one Pinch of Snuff, or one Drop of Bohea Tea, which make People very lumpish and miserable.

Her Food must be fresh and easy of Digestion, neither salt nor windy, nor may she eat one Morsel of Beef, which affords a gross Nourishment, and inclines People too much to hang themselves. And for her Drink, she must forbear Beer, with all windy and fermented Liquors; and stick to Balm Tea entirely.

To escape this Disorder, she must suffer none of the idle Disturbances, or Disappointments of an empty World, to prey upon her Mind, or ruffle her sweet Temper. Let her use just Exercise enough to give a gentle Spring to her Spi­rits, without wasting them; and let her be cheerful in spite of a churlish Husb [...]nd, or cloudy Weather.

UPPRESSION of the COURSES.

Now I am upon Female Infirmities, it will not be unseaso­nable to touch upon a common Complaint among unmarried Women, n [...]mely, The S [...]ppressi [...]n of the Cou [...]es. This don't only disparage their Complexions, but fills them besides with sundry [...]isorders. For this Misfortune, you must purge with Highland Flagg (commonly called Belly ach Root) a Week before you expect to be out of Order; and repeat [Page 366] the same two Days after; the next Morning drink a Quar­ter of a Pint of Pennyroyal Water, or Decoction, and as much again at Night when you go to Bed. Continue this 9 Days running; and after resting 3 Days, go on with it for 9 more. Ride out every fair Day, stir nimbly about your Affairs, and breathe as much as possible in the open Air.

You must feed [...]pon a warm and cordial Diet, enrich'd with a great dea [...] of [...], Nutmeg, Horse-radish and Garden Cresses [...] time avoiding every Thing that is [...] and windy. And let your Drink be [...] Leaves, or else Ground-ivy Tea.

To prev [...]t this [...], young Women must shake off Sloth, and make [...] as well as their Hands. They should be cautiou [...] of taking Opiates too often, or Je­suits Bark, except in Cases of great Necessity; nor must they long for pretty Fellows; or any other Trash whatso­ever.

STONE in the BLADDER.

Heaven be prais'd there is little Occasion to say any Thing of the S [...]one in the Bladder, there being few Instances of it in this Colony. Among the Gentry, the Madeira Wine, which has but little Tartar in it, and the Melasses Beer, be­ing soft and cleansing, are happy Defences against this Scourge of Luxury and Laziness: And then, for the com­mon Planters, their Pone, and other Preparations of Indian Corn, being smooth and slippery, are likewise excellent Pre­servatives.

GRAVEL.

Nevertheless, some few of us, by sitting too long either at our Book or our Bottle, have, now and then, some Touches of the Gravel, or Stone in the Kidneys. This makes itself known by a Pain across the Loins, by Urine ting'd with Blood, and mix'd with Sand, and jagged little Stones; the Stomach too is sometimes affected, and inclin­ed to vomit.

When you find these concurring Symptoms, drink 3 or 4 Quarts of Whey as fast as you can, wherein the Root of Prickly Pear has been boil'd. When that has all past, squeeze the Juice of Wild Garlick into clean sound Cyder, and drink a moderate Glass of it Night and Morning for 6 or 7 Days.

[Page 367]In the mean time, let your Food be thin Hominy, or Broth, with a few Mallows boil'd in it; and your Drink, [...] Decoction of Mallows, sweeten'd with Syrup of Violets.

And the Way to ward off this painful Disease, is to be temperate in all your Enjoyments, to eat a great Deal of [...]ilk, and Meats made of Indian-Corn; but above all Things, be cautious of sitting still too much.

SUPPRESSION of URINE.

A Common Consequence of the Gravel, is a Suppression of Urine, occasioned, sometimes, by small Stones lodging in the narrow Passages, that lead from the Kidneys to the Bladder. The Signs of this Complaint are too plain to any One who has his Feeling; and to cure it, you must proceed in much the same Method as for the Gravel; only you should add Parsley Tea to your Drink, sweeten'd with Sy­rup of Violets.

But if the Suppression arise from an Ulcer, or Inflamma­tion in the Neck of the Bladder, then the Sypmtoms are a great Heat and Pain in that Part, with an urgent Need to make Water, but a Disability to do it at all, or, at most, not faster than Drop by Drop.

For this, boil one Part of Oil with two Parts of good Cyder, and thereof swallow a Spoonful or two Night and Morning.

Let your Diet all the while be cooling and easy of Di­gestion; and your Drink, Parsley Tea or Cyder, with a Plantain Leaf boil'd in it.

To prevent this Ailment, eat seldom of pepper'd or high season'd Meats; and drink moderately of hot Liquors: Tho', above all Things, you must forbear using artificial [...]vocatives to recommend you to the delightful Sex▪ but, [...]or that, let Nature be your only Prompter.

BLIND PILES.

The Symptoms of the Blind Piles, are little painful Swellings▪ appearing just without the Fundament. They are occa­sioned by the Flowing of corrupted Blood into the Vessels thereabouts, which sometimes creates so much Anguish, as to put the Patient into a Fever, and render every Postur [...] uneasy.

For this Complaint, take every Morning fasting, in the Y [...]lk of a new laid Egg, 12 Grains of Brimstone, finely powder'd; and wash it down with a small Draught of De­coction of Mallows ▪ And to asswage the Pain, make Use [Page 368] of this outward Application: Stamp a roasted Onion, with a little Ointment of James-Town Weed; which must be laid on warm, and renewed twice a Day.

In the mean time the afflicted Person's Diet ought to be moderate and cooling, without Meat of any Kind; and his constant Drink, Milk and Water.

But, in order to prevent this Affliction, and root it out for ever, use the following Remedy. Boil a Handful of Mullein Leaves in a Pint of new Milk, and sweeten it with Syrup of Violets. Drink this every Night, for 6 Weeks to­gether, just before you go to Rest.

RUPTURE.

A Rupture is a common Misfortune, especially among Children. The Tokens of it are a painful Swelling and Inflammation in the Cods, occasioned by a Fall, or other Violence, that forces down the Guts into that Part, and is most painful when the Accident first happens.

For this, let the Patient immediately have a Truss made, that may hold the Part suspended. Then apply fresh Cow Dung, which must be renewed Night and Morning, till the Pains are asswaged. After that, put on another Poultis, made of the Roots of Swamp Lillies, and Sumack Berries, boil'd and beat well together; which must also be refreshed twice a Day, till the Swelling disappears. From the Be­ginning, let him gird a Belt tight about his Loins, and wear it continually, till the Bowels are drawn up to their natural Situation.

Let his Diet be cooling, and easy of Digestion; and his constant Drink, a Decoction of Garden Cresses, sweeten'd with Syrup of Quinces.

In order to prevent this Disaster, Care must be taken ne­ver to over-strain yourself, use too v [...]ent Motion, or fall in such a Manner as to injure yourself in those sensible and tender Parts.

KING's EVIL.

The King's Evil proceeds from a foul and obstina [...]e Hu­mour in the Body that breaks out into Swellings and [...] and is often derived from our Parents.

For this great Misfortune take a clean Spunge, [...] well in an Earthen Pot, and having reduced it to [...], take as much as will lie upon a Shilling, Morning a [...]d Evening, in warm Asses Milk. This must be [...]ntinued for three Months to compleat the Cure▪ [...] time▪ [Page 369] Care should be taken never to scorch the Spunge. While this Remedy is taken inwardly, apply a Poultis of Sassafras to the Sores that are broke, which will both draw and heal them.

A Spare Diet should be used all the while, without Salt Meat, or strong Drink.

The best Way to prevent this impure Distemper, is for those that have it never to marry, nor do worse, that they may not transmit their Misfortunes to Posterity.

YAWS.

The Yaws, or Country Distemper, is very bad to cure perfectly, especially when grown inveterate. This is the highest Kind of Scurvy; and the Symptoms of it are, eating Ulcers in the Throat, or Palate, and filthy Sores in other Parts of the Body, having near Resemblance to those of the Pox.

This unclean Disease often yields to Dr. Papa's Remedy; or at least may be kept under by it.

PAPA's REMEDY.

Take 1 Ounce of the Bark of Sumack Root, 1 Ounce of the inner Bark of Spanish Oak; boil these together in a Quarts of Water, till the Decoction be very strong. Of this Liquor drink a full Pint, Milk-warm, and immediately after it Half a Pint, quite cold: and it will give you a powerful Vomit.

The next Morning take Half a Pint of the same Drink warm, and the same Quantity again in the Evening; and continue so doing for 6 Weeks or 2 Months; only the Vo­mit must be repeated every seventh Day. In the mean time gargle your Throat, and wash all your Sores and Ul­cers with the same warm Liquor, which ought to be made fresh every 2 Days. Besides all this, you must chew the Sumack Root very often, and swallow the healing Juice.

Every Night, before you go to rest, take 2 Pills, made of Turpentine and Deers Dung, in equal Quantities.

POX.

The Pox may be cured exactly in the same Manner; and, because the Symptoms are much the same, it is very probable the One was a Graft of the other. The pious Spaniards catch'd it from their Negroe Mistresses in the West-Indies, and had the Honour of propagating it from thence to all the rest of the World.

[Page 370]In both Cases, confine yourself altogether from eating Flesh, and from strong Drink, and be very careful of catch­ing Cold.

To avoid this Misfortune, eat seldom of fresh Pork, which breeds very gross Humours; live not too near a Swamp; nor ever venture upon strange Women, especially not on Ethiopians.

CANCER.

Another woful Case is a Cancer, which some despairingly imagine to be incurable; tho' blessed be GOD, there have been some Instances of Success, by the Method hereafter mentioned. In the mean time, it usually begins with lit­tle hard Lumps, or Swellings in the Breast, Lip, or other glandulous Part of the Body. These afterwards break into painful Sores, which eat farther and farther, till at last they reach some large Vessel, or mortal Part.

In this Case, the Patient must submit, in the first Place, to have the hard Lump cut clean out, so soon as he is con­vinc'd it is a Cancer. And, for curing the Wound, he can't do better than make Use of the following Balsam: He must boil 6 Ounces of Sassafras Root, and as much Dogwood Root in a Gallon of Water, till it be wasted to a Pint, and having strain'd it off▪ must drench a Pledget therein, and apply it warm to the [...]ore, renewing it every Day: And if he will have the Patience to continue this for some Time, I can assure him he will not be the first that has been blest with Success.

Let him drink Sassafras Tea every Morning, live tempe­rately upon light and innocent Food, and abstain intirely from strong Liquor.

The Way to prevent this Calamity, is to be very spar­ing in eating fresh Pork, to forbear all salt and high sea­son'd Meats, and live chiefly upon the Garden, the Or­chard, and the Hen-house.

RHEUMATISM.

A Rheumatism is a wandering Pain that shifts from one Joint or Part of the Body to another, and is generally ac­companied with a small Fever.

For this bleed 10 Ounces, the next Day vomit with Indian Physick, and the Day after that take a Purge of the same. After all this, boil a Shin of Beef in a Gallon of Water, till one Half be wasted. Put into what remains a Pound of Garlick, and stew it till it comes to 3 Pints. Then strain it [Page 371] again, and take a Quarter of a Pint, blood warm, Morning and Evening for 3 Days, and you will find Relief.

As this Distemper happens by a violent cold, great Care should be taken to prevent the unhappy Cause.

GOUT.

I shall next say something of the Gout, which I observe with Pleasure to be grown less frequent in the Country, than in the Time of our Fathers. It makes itself known with a Vengeance, by a painful Inflammation in some of the Joints, especially of the Hands and Feet.

It would be great Presumption, after so many vain At­tempts, for me to recommend any other Remedy for this obstinate Distemper, than a strict and severe Temperance, both in Eating and Drinking. Nevertheless, I am not so hard hearted, as to deny my Patient any Kind of fresh and plain Food, that agrees with his Stomach: All I intreat of him, is to confine himself religiously to a moderate Quantity. Nor can he do better, than to follow the Example of Cor­nara, a noble Venetian, who tied himself down to 12 Ounces of Eatables, including Bread, and 14 Ounces of Drink, in the 24 Hours. He stuck close to this short Allowance, using moderate Exercise; and, from being a Cripple by the Gout, recovered his Health, and his Strength, to a Won­der: And having found so much Benefit by these Rules, pursued them strictly to the End of a very long and happy Life.

Nor are these Weights so scanty as they may seem to be to some keen Stomachs; but, upon a fair Trial, they will be found sufficient to give Strength to the Body, Chearful­ness to the Heart, and Vigour to all the Faculties of the Soul. And, besides these happy Effects, they will do more: They will place you above the Influence of the Stars; and make you able to subdue your Passions, to the Empire of a cool and unclouded Understanding.

The same Temperance that cures this Distemper, will certainly not fail to prevent it; make you live a great while, and very easy while you do live.

BITE of a RATTLE SNAKE.

If any One should have the Misfortune to be bit by a Rattle Snake, let him kill the Viper immediately, and apply its Fat to the Wound. This will sheathe the Poison, and give Time for other Remedies to expel it out of the Blood. The readiest Cure I know, is St. Andrew's Cross, which [Page 372] grows providentially all over the Woods, during th [...] whole Season that the Snakes are mischievous.

Let him take 60 Grains of the Root reduced to Powder, or a strong Decoction of the Leaves and tender Branches, and if one Dose should not finish the Cure, he must take a Second. There are other Plants growing in this Country that will answer the same Intention, such as the Fern Rat­tle-snake Root, Ginger Snake-root, the smaller Assa Rebecca, Oak of Jerusalem, and Dittany; but St. Andrew's Cross is as powerful as any, and much easier procur'd, being the Growth of every Soil, that hath not been clear'd thro' the whole Colony. Nor is there any Indian Trader, but can bear Witness to its Virtue in this Particular.

BITE of a MAD DOG.

For the Bite of a Mad Dog, which may be reckoned a­mong the greatest of Calamities, Dr. Mead has communi­cated the following Remedy to the World which he had tried on more than 500 Persons, with great [...] constan [...] Success.

The Patient, as soon as possible after his Misfortune▪ should bleed about 10 Ounces. Then let him take of Ash-colour'd Ground Liver Wort, dry'd and powder'd, Half an Ounce; which grows on moist sandy barren Soils. He must mix with this two Drachms of powder'd black Pepper. Divide those into Four Doses, and let him take one every Morning fasting in Half a Pint of warm Milk. After this, the Patient must be plung'd over Head and Ears in very cold Water every Morning fasting, for a Month together, never staying longer than Half a Minute at a Time. When he has bath'd in this Manner so long, he need go in no more than three Times a Week for a Fortnight longer, by which Time the Cure, by the Grace of GOD, will be happily compleated.

The Liverwort should be gathered in October, and dry'd carefully in the Shade.

FILM.

In case a Film should grow over the Sight of the Eye, oc­casioned by a Blow, a sharp Humour, or other Accident, you may take it off with this easy and cheap Remedy. Dry Human Dung in the Sun that is yellow, and of a good Con­sistence, and having reduced it to a very fine Powder, blow it thro' a Quill two or three Times a Day into the Eye, and your Sight will be happily restored in a short Time.

[Page 373]

SORE EYES.

Common Sore Eyes may be cur'd by washing them with Breast Milk, warm Sage Tea, or with Rose Water, taking Care in the mean time not to rub them if they itch, or ex­pose them to the cold Air.

SPRAIN.

If by any Fall, or False Step, you should happen to sprain a Joint, clap it into cold Water as soon as possible, and keep it there for several Minutes. Then cover the Part all over with a Poultis of Clay well temper'd with strong Vinegar, which must be bound on securely. When the first grows dry, apply another, which will probably finish the Cure without the Expence of a Surgeon.

And now I mention Surgeons, by the good Leave of those Gentlemen, I will recommend to my poor Country­men an easy Remedy for some little Complaints that fall within their proper Province. Nor will they take it amiss, I hope, [...] endeavour to help such indigent Persons as cannot purchase their Assistance.

BROKEN SHIN.

If any One therefore should break a Shin, or have any o­ther green Wound (which, by being neglected, often comes to be very troublesome) let him only make use of that Bal­sam, which the compassionate Samaritan apply'd to the Wounds of the poor Israelite who fell amongst Thieves. Boil Oil Olive and Wine in equal Quantities (and if you add a little clean Muscovado Sugar, it will be so much the better) Drench a Pledget well in this Balsam, with which cover the whole Sore, and keep it on with any sticking Plaisters, and it will be healed in one or two Dressings. I have likewise cur'd very bad Ulcers with it, but then I kept the Patient to a spare and cooling Diet, making him drink Papa's Liquor all the Time, and cleanse the Sore with the same every Time it was dressed. In these Cases, it need not be dressed more than once in two Days, because it should be exposed as seldom as possible to the cold Air.

SWELLING to DISCUSS.

If you have a Swelling in any Part which you would dis­cuss, mix powder'd Brimstone, with the Juice of James Town Weed, and thereof make an Ointment with fresh Hogs Lard. Anoint with this twice or thrice a Day, keeping the Part warm, and you will rarely fail of Success.

[Page 374]

SWELLIG to BREAK.

But if you would draw a Swelling to a Head, chew Sassa [...]fras Root, and apply it by Way of Poultis, and it will no [...] only break the Swelling, but cure it also in a short [...]ime without any other Application.

SEAR CLOTH.

If you should have a Pain in the Back, Loins, or [...] Part, that requires a Sear Cloth to asswage it, the most ef­fectual One I can recommend to you, is made after the fol­lowing Manner. Powder the Root of Assa Rebecca, Com­fry and Snake Root, then mix them with as much common Turpentine as will make a large Plaister, which apply hot to the Part, and it will give speedy Relief.

DEAFNESS.

If any one should by Cold or other Accident become Deaf, let him take the Bulb of a large Onion, and scoop out a pretty deal of the Inside. Then let him fill the hol­low Part Half full of Rattle Snake Oil, and [...] it on a Grid-Iron over live Coals, till the Pulp of the Onion incor­porate with the Oil. Then strain it, and going to Bed, drop two Drops into the Patient's Ear very warm. After­wards stop it with Cotton, and repeat it six or seven Times, and you will have Reason to applaud the Medicine.

Thus I have run through most of the common Com­plaints, to which the Inhabitants of this Colony are subject; and prescrib'd such innocent Cures, as will generally suc­ceed, if timely made Use of; yet am far from pretending that any of them are infallible; We all know that Death strikes so home in some Cases, that all Physick is vain. There are many Instances too, where the Diseases of our Climate have a little Dash of the Pox, the Scurvy, or the Gout; and then they need a RATCLIFF or a FRIEND to get the better of them.

In the mean time, it may seem strange, that, among the Remedies I have prescribed, no honourable Mention is made of Mercury, Opium, or the Peruvian Bark, which have almost obtain'd the Reputation of Specificks. I ac­knowledge the powerful Effects of these Medicines, but am perswaded they ought to be administred with the greatest Skill and Discernment. And, as I write only for the Ser­vice of the Poor, who are wholly left to judge for them­selves, I was fearful of putting such dangerous Weapons into their Hands.

[Page 375]If those of better Circumstances find any Thing here that may, in any Manner, deserve their Attention, I should be exceeding glad; tho' I own these Directions▪ were not designed for such as are in Condition to purchase more learned Advice. It was only to those whom Fortune has placed below the Regard of our Doctors, that I address this short Essay; and if one single Person shall be recov [...]d thereby, or receive the least Relief, I shall account my Pains happily bestowed.

In the mean Time, there is no Question, but some of my Brother Quacks will make themselves merry with these Pre­scriptions. Let them shoot their harmless Bolts. I by no Means envy those Gentlemen the only Way they have of appearing wiser than their Neighbours. Tho' after all, it is not impossible, but they may do by some of these, just as the good People of England do by the French Fashions, laugh at them first, and then have the Humility to follow them.

An Index of Diseases mentioned in Every Man his own Doctor.

  • AGue, Page 357
  • Bite of a Rattle Snake, Page 371
  • Bite of a Mad Dog, Page 372
  • Bleeding at the Nose, Page 363
  • Bleeding Piles, Page 363
  • Blind Piles, Page 367
  • Bloody Flux, Page 350
  • [...]roken Shin, Page 373
  • [...]achexy, Page 360
  • [...]ancer, Page 370
  • [...]holick, Page 352
  • [...]onsumption, Page 349
  • [...]ough, Page 347
  • [...]eafness, Page 374
  • [...]iabetes, Page 364
  • [...]ropsy, Page 361
  • [...]ry Gripes, Page 353
  • [...]pilepsy, or Falling Sickness, Page 355
  • Fever continual, Page 358
  • Fever, with violent Purg­ing and Vomiting, Page 357
  • Fever, Pain in the Head, Eye, or Ear, Page 348
  • Film on the Eyes, Page 372
  • Flooding, Page 363
  • Flux immoderate of the Courses, Page 363
  • Gleet, or Running of the Reins, Page 364
  • Gout, Page 371
  • Gravel, Page 366
  • Green Wound, Page 373
  • Griping, Page 352
  • Heart-burn, Page 354
  • King's Evil, Page 368
  • Lethargy, Page 356
  • Looseness, Page 352
  • Palsey, Page 354
  • [Page 376]Pissing of Blood, Page 363
  • Pl [...]risy, Page 347
  • Pox, Page 369
  • Quinsey, Page 349
  • Rheumatism, Page 370
  • Rupture, Page 368
  • Slow Fever, Page 359
  • Sore Eyes, Page 373
  • Sore Throat, Page 349
  • Spitting of Blood, Page 363
  • Sprain, Page 373
  • Stone in the Bladder, Page 366
  • Stone in the Kidneys, Page 366
  • Strangary, Page 367
  • Suppression of the Cour­ses, Page 365
  • Suppression of Urine, Page 367
  • Swelling to break, Page 374
  • Swelling to discuss, Page 37 [...]
  • Vapours, or Hysterick Fits, Page 364
  • Vomiting and Purging, Page 357
  • Whites, Page 364
  • White Flux, Page 351
  • Whooping Cough, Page 347
  • Worm Fever, Page 359
  • Yaws, Page 369
  • Yellow Jaundice, Page 361

The foregoing Distempers are the most fatal and trouble­some we are afflicted with in this Country. I have been [...] short as I could, lest I might lose the Benefit of the Pro [...]verb, which says, The shortest Follies are the best. Th [...] Remedies I have prescrib'd, are almost all of our own Growth, there being no more than 5 or 6 foreign Medi­cines; and they so very cheap, that if I happen not to cure my Patient, I am sure I shall not ruin him. And surely, no Man can say, he dies very unfairly, when there is so little to pay, either to the Doctor or the Apothecary ▪ Besides, I have another Thing to recommend me, that I don't cram my Patients with too much Physick. My Pre­scriptions are generally single, and not compounded, like a Spanish Oleo, of all Sorts of Ingredients, which must cer [...]tainly confound and defeat the Virtues of each other. Nei­ther do I ransack the Universe for outlandish Drugs, which must waste and decay in a long Voyage; nor import th [...] Sweepings of the Shops, which I am sure are decay'd; bu [...] am content to do my Execution with the Weapons of ou [...] own Country.

An Index of Ingredients made use of.

  • ALom, Page 362, 363
  • Ash root, Page 361
  • Ass dung, Page 363
  • Assa-Rebecca, Page 372, 37 [...]
  • Bawm, Page 348, 352, 353, 355, 356, 36 [...]
  • [Page 377]Bears-on, Page
  • Brandy, Page 353, 354
  • Breast-milk, Page 352
  • Brimstone, Page 373
  • Burnet, Page 363
  • Centory Page 360
  • Clay, Page 373
  • Cold-bath, Page 363
  • Comfry, Page 363
  • Cow-dung, Page 368
  • Cresses, Page 359, 366, 368
  • Cinquefoil, Page 349, 358
  • Deers dung, Page 350, 369
  • Deers horn, Page 351, 352
  • Dittany, Page 359
  • Dogwood Page 370
  • Elder, Page 361
  • Elicampane Page 347
  • Fern Rattle snake-root, Page 372
  • Garlick, Page 362, 366
  • Ginger Snake-root, Page 372
  • Ground-ivy, or Aloff, Page 348, 350, 366
  • Highland-flag, or Bellyach-root, Page 365
  • Honey, Page 348
  • Horehound, Page 347
  • Horseradish, Page 355, 359, 362, 366
  • Human dung, Page 372
  • Hungary-water, Page 355
  • James town-weed, Page 368, 373
  • Jerusalem oak, Page 360
  • Indian Physick, Page 347, 351, 354, 456, 357, 358, 359, 361, 363, 364, 365
  • Indian Pepper, Page 348
  • Iron, Page 359, 361, 362
  • Linseed, Page 348
  • Liquorice, Page 350
  • L [...]ver wort, Page 372
  • Mallows, Page 348, 349, 350, 352, 353, 358, 359
  • Mint, Page 357
  • Misleto, Page 356
  • Mullein, Page 368
  • Mustard, Page 355, 359, 366
  • Nutmeg, Page 351, 357, 366
  • Oil, Page 367
  • [...] Page 373
  • Oil of Rattle-snake, Page 374
  • Parsley, Page 367
  • Peach Blossoms, Page 348, 349, 350, 351, 358, 359
  • Peach Leaves, Page 353
  • Pennyroyal, Page 348, 356, 366
  • Pine Page 361
  • Pelitary of Spain, Page 362
  • Plantain, Page 351, 367
  • Prickly Pea [...] Page 366
  • Quince, Page 363, 368
  • Raisins, Page 350
  • Rennet, Page 356
  • Roses, Page 363, 364
  • Rosemary, Page 355
  • Rue, Page 348, 356, 360
  • Sage, Page 348, 355, 356
  • St. Andrew's cross, Page 371, 372
  • Sassafras, Page 350, 353, 357, 361, 362, 370
  • Scurvy-grass, Page 355
  • Sn [...]ke root, Page 353, 357, 359,
  • Spanish-flies, Page 348, 349, 350
  • Spanish-oak, Page 369
  • Sorrel, Page 359, 360, 361, 366
  • Spunge, Page 368
  • Sumac, Page 368, 369
  • Swamp-lillies, Page 368
  • Tobacco, Page 354, 355, 360,
  • Tuckahoe, Page 352
  • Turpentine, Page 350, 369
  • Vinegar, Page 356, 360, 373
  • Violets, Page 367, 368
  • Wax, Page 352
  • Whey, Page 352, 366
  • Wormwood, Page 348, 357, 360
  • Yarrow, Page 363

[Page 378]These Ingredients every Master of a [...] may easily provide himself with; as he should als [...] [...]ith a Lancet, a Glyster-pipe, and a Syringe, that he [...] not be at a Loss in his Distress; and spend that [...] in running after Reme­dies that ought to be made [...] of in applying them; De­lays being never so da [...]erous, as in the Care we ought to take of the Sick.

The Printer to the Reader wisheth Health.

THIS Book, intituled, Every Man his own Doctor, was first printed in Virginia, for the Use of which Colony it was written by a Gentleman residing there. Great Numbers have been distributed among the People both in Virginia and Maryland, and 'tis generally allowed that A­bundance of Good has been thereby done. And as some Parts of Pe [...]nsylvania, the Jerseys, and the Lower Coun­ties on Delaware, by the Lowness and Moistness of their Situation, are subject to the same Kind of Diseases, I have been advised to reprint this Book here, for the Use and Be­nefit of those People in these Countries, as live at too great a Distance from good Physicians. It is necessary, however, to give the Reader this one Caution, that the Ipecacuana or Indian Physick, so frequently prescribed by the Author, is much weaker in Virginia, than that which grows in Penn­sylvania; so that whereas he prescribes 80 Grains for a Vomiting Potion, and 70 for a Purge; 12 Grains of our Indian Physick, or Ipecacuana, will be sufficient for a Vo­mit, and 10 for a Purge: There is another Sort which comes to us from Europe, and is to be found in the Apothe­caries Shops, of which 30 or 32 Grains is commonly gi [...]ven for a Vomit, and 27 for a Purge, which will work mos [...] Constitutions sufficiently.

POSTSCRIPT.

A Physician in Virginia has lately published an Essay or the Pleurisy; in which he discovers a Method [...] treating that fatal Distemper, that he says he always found to succeed. The principal Part of the Cure depends on the Use of a Simple that begins to be known in this Coun [...]try by the Name of Rattle [...]ake Root, being the sam [...] which the Indians use in curing the Bite of that venomou [...] [Page 379] Reptile. The Method which the Author practises and recommends, is as follows▪

"Let the Patient first have 10 Ounces of Blood taken from the Arm of the well Side or Foot, if both Sides are affected; and every six Hours 3 Spoonfuls of the following Tincture is to be given, the first Dose immediately after, and continued till the Symptoms abate.

Take of the Rattle Snake Root, 3 Ounces, wild Vale­rian Root, an Ounce and a Half, let them be well bruised in a Mortar, then mix them with a Quart of old Canary, and digest in a proper Vessel in a Sand Heat for six Hours, afterwards decant for Use.

Let fifteen Drops of Balsam Capivi, and as many of Sal Vola [...]ile Oleosum, be given in a little ordinary Drink, twice between each Dose of the Tincture, beginning with the first Dose two Hours after the Tincture; and give the second Dose two Hours after.

Let the ordinary Drink be a Tea made of Marsh­mallow [...], always given warm.

If the Patient has been ill some Days before any Thing administred, the Balsam is to be continued for some Days after a considerable Amendment.

Blood-letting is to be repeated the second Day, and in the same Quantity as the first, if the Patient is not much better, or the same Day, unless something better in four Hours: But such is the Efficacy of this Medicine, that there is seldom Occasion. The Symptoms generally a­bate considerably in 24 Hours, and the Recovery certain.

But because every One may not have Conveniency for pre­paring this Tincture, nor have the other Medicines men­tioned at Hand, and don't live within Reach of a Physician, it is necessary to acquaint the Reader with what the Author adds further, viz.

‘A Decoction of the Rattle Snake Root alone in Spring Water, three Ounces to about one Quart; together with Pectoral Teas sweetened with Honey, will [...] effectual without any thing else, if the Patient has been let Blood as soon as taken, and this Decoction imme­diately given afterwards.’

This is to be understood of the genuine Pleurisy or Pe­ripneumony attended with a Fever.

As for the other Disease, which often personates a Pleu­risy in these Parts, the Symptoms of which are, that the [Page 380] Patient is cold in a somniferous State, and sometimes con­vulsed.

In this Case the Author omits Blood-letting as pernicious; but says the Tincture aforesaid is as effectual here as in the genuine Pleurisy, only advises that the Rattle Snake Root and Valerian be in equal Quantites.

We have not Room to add more out of the abovemen­tioned Essay; and indeed the greatest Part of it being taken up in abstracted Reasonings on the Texture of the Blood, and the Operations of different Medicines, &c. to make a larger Extract would be of little Use to the unlearned Read­er, for whom this Book was originally intended; and it is supposed that in Cases of Danger, the Patient will always consult a skilful Physician w [...]ere it can possibly be done.

But while we are solicitous about the Health of the Bo­dy, let us not forget, that there are also Diseases of the Mind, which concern us no less to be thoroughly cured of. The divine Assistance and Blessing on our Endeavours is ab­solutely necessary in both Cases; which we ought there­fore piously and devoutly to request. And being healed, let us gratefully bless and praise that GREAT PHY­SICIAN, from whose Goodness flows every Virtue, and the Discovery of every useful Medicine.

An Addition of some farther RECEIPTS.

BRUISE or SCALD outward.

TAKE a Quart of Neats-foot Oil, Half a Pound of Red-lead, two Ounces of Bees-wax; boil them to­gether three Hours, and stir them well.—Or, Oil of El­dern bathed or rubbed on the Place will have the same Ef­fect.

BRUISES INWARD.

Drink the Decoction of Comfry with Bread and Butter.

BOUND in the BODY.

Take Cream of Tartar mixed with Honey very fre­quently.

CANKER in the MOUTH.

Take the Juice of Plantain and Rose-water mix'd, and with it frequently wash your Mouth.

[Page 381]

For a COUGH.

When you are going to Bed, drink Brandy, Treacle and Sallad Oil, mix'd: Or, take a Mixture of Butter and brown Sugar.

CONVULSIONS in CHILDREN.

Take unslacked Lime one Quart, and put to it five Quarts of Spring Water; let it stand 24 Hours, in which Time stir it three times, scum it, and take the clear Water and let it stand 12 Hours more, and strain it through a Cloth; and being put into an Earthen-pot, put to it An­niseed and Fennel Seeds, of each a Quarter of a Pound; Liquorice bruised and Sassafras, of each an Handful; let them stand four or five Days, and then let the Child drink a Quarter of a Pint, Morning and Evening, as long as it lasteth.

For the Stone or Stoppage in the Urine.

Take a Quantity of Thyme, Parsley, Tops of Fennel, and Cinquefoil a like Quantity, five or six Cloves of Gar­lick; and stamp them all together, and strain them into White-wine or Ale, and drink of it Morning and Evening.

To make Melilot excellent for Plaisters.

Take Melilot, Pimpernel and Scabious, of each two Handfuls; cut them small, then beat them in a Mortar with two Pounds of Hog's Lard; let it stand in the Sun­shine seven or eight Days (it being usually made in June) then melt and strain it well; then add as many more fresh Herbs, and set it in the Sun as before, and then melt and strain it again; then boil it till the Juice is consumed; then take it off the Fire, and put to it beaten Rosin, Bees-wax, and fine Turpentine, of each one Ounce; when cold, put it up in Pots, or make it up in Rolls.

Advice to a young Tradesman, written by an old One.

To my Friend A. B.

As you have desired it of me, I write the following Hints▪ which have been of Service to me, and may, if observed, be so to you.

REMEMBER that TIME is Money. He that can earn Ten Shillings a Day by his Labour, and goes abroad, or sits idle one Half of that Day, tho' he spends [Page 382] but Six-pence during his Diversion or Idleness, ought not to reckon that the only Expence; he has really spent, or ra­ther thrown away, Five Shillings besides.

Remember that CREDIT is Money. If a Man lets his Money lie in my Hands after i [...] [...] due, he gives me the In­terest, or so much as I can make of it during that Time▪ This amounts to a considerable Sum where a Man has good and large Credit, and makes good Use of it.

Remember that Money is of a prolifick generating Na­ture. Money can beget Money, and its Offspring can be­get more, and so on. Five Shillings turned, is Six ▪ Turn'd again, 'tis Seven and Three-pence; and so on till it becomes an Hundred Pound. The more there is of it, the more it produces every Turning, so that the Profits rise quicker and quicker. He that kills a breeding Sow, de­stroys all her Offspring to the Thousa [...]dth Generation. He that murders a Crown, destroys all [...] have produced, even Scores of Pounds.

Remember that Six Pounds a Year is but a [...] a Day. For this little Sum (which may be daily wasted either in Time or Expence unperceiv'd) a Man of Credit may, on his own Security, have the constant Possession and Use of an Hundred Pounds. So much in Stock briskly turn'd by an industrious Man, produces great Advantage.

Remember this saying, That the good Pay-master is Lord of another Man's Purse. He that is known to pay punctu­ally and exactly to the Time he promises, may, at any Time, and on any Occasion, raise all the Money his Friends can spare. This is sometimes of great Use; therefore ne­ver keep borrow'd Money an Hour beyond the Time you promised, left a Disappointment shut up your Friend's Purse for ever.

The most trifling Actions that affect a Man's Credit, are to be regarded. The Sound of your Hammer at Five in the Morning, or Nine at Night, heard by a Creditor, makes him easy six Months longer. But if he sees you at a Bil [...]ard Table, or hears your Voice in a Tavern, when you should be at Work, he sends for his Money the next Day. Finer Cloaths than he or his Wife wears, or greater Expence in any Particular than he affords himself, shocks his Pri [...]e, and he duns you to humble you. Creditors are a Kin [...] of People, that have the sharpest Eyes and Ears, as well as the best Memories of any in the World.

[Page 383]Good-natur'd Creditors (and such one would always chuse to deal with if one could) feel Pain when they are oblig'd to ask for Money. Spare 'em that Pain, and they will love you. When you receive a Sum of Money, di­vide it among 'em in Proportion to your Debts. Don't b [...] asham'd of paying a small Sum because you owe a greater [...] Money, more or less, is always welcome; and your Cre­ditor had rather be at the Trouble of receiving Ten Pounds voluntarily brought him, tho' at ten different Times or Payments, than be oblig'd to go ten Times to demand it before he can receive it in a L [...]mp. It shews, besides, that you are mindful of what you owe; it makes you appear a careful as well as an honest Man; and that still encreases your Credit.

Beware of thinking all your own that you possess, and of living accordingly. 'Ti [...] a Mistake that many People who have Credit fall into. To prevent this, keep an exact Ac­count, for some [...]ime, of both your Expences and your In­comes. If you take the Pains at first to mention Particu­lars, it will have this good Effect; you will discover how wonderfully small trifling Expences mount up to large Sums, and will discern what might have been, and may, for the fu­ture, be saved, without occasioning any great Inconvenience.

In short, the Way to Wealth, if you desire it, is as plain as the Way to Market. It depends chiefly on two Words, INDUSTRY and FRUGALITY; i. e. Waste neither Time nor Money, but make the best Use of both. He that gets all he can honestly, and saves all he gets (necessary Expen­ces excepted) will certainly become RICH: If that Being who governs the World, to whom all should look for a Blessing on their honest Endeavours, doth not in his wise Providence otherwise determine.

An Explanation of Mr. J. B's Twelve Cyphers.

By practising which, the young Writer may more speedily ac­quire a perfect Idea of the Proportions of the Round­hand Letters, and their Relations to each other, than by a­ny other Method yet known.

THESE Twelve Cyphers are contrived, to let the Writer see, by inverting them, whether he has gi­ven his Letters their true Form. He must make Allowances [Page 384] for the Dots, and also for the beginning and ending Turns of n or u, being alike in this Example, the common Rule being to make the beginning Turns sharper, and then the Explanation of the Cyphers will be as follows:

  • N o. 1. Is hu together, or hi separate; being inverted, it is ny together, or nj separate.
  • 2. Is ny together, or nj separate; being inverted, it is hu together, or hi separate; the Reverse of No. 1.
  • 3. Is hy together, or hj separate; and the same when inverted.
  • 4. Is hu, and when in [...]rted, ny together, or mj se­parate.
  • 5. Is No. 4. inverted.
  • 6. Is mu together, or mi separate; being inverted, it is nu.
  • 7. Is nu together, or mi separate [...] being inverted, it is the same.
  • 8. Is only y and h both Ways; but by Inversion, chang'd one for the other.
  • 9. Is h and y alike each Way.
  • 10. Is made of two contrary c's.
  • 11. Is made of two contrary e's.
  • 12. Is s either End upward.
FINIS.
[Page]

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